Will Nicholes

Online Encyclopedia of Integer Sequences entries

Relating to Metaprimes

A079708: Metaprime binary to standard binary conversion series (first term = 0).

A133487: Metaprime binary to standard binary conversion series (first term = 256).

Fibonacci numbers and Pisano periods

A179390: Modulus for Fibonacci-type sequence described by A015134.

A179391: First term in Fibonacci-type sequence described by A015134.

A179392: Second term in Fibonacci-type sequence described by A015134.

A179393: Period of the Fibonacci-type sequence described by A015134.

Binary/hexadecimal expansions

A131602: Hexadecimal expansion of golden ratio (phi).

A178707: Position of the start of the first occurrence of n (expressed in binary) after the binary point in the binary expansion of Pi.

A178708: First appearance of n consecutive 0's in the binary expansion of Pi.

A178709: First appearance of n consecutive 1's in the binary expansion of Pi.

Fractions in other bases

A179193: Sum of the number of repeating digits for each reciprocal of integer m, where n>m>1 and n is the base.

A179194: Bases n in which 1/(n-2) is non-terminating and has period n-3.

A179195: Triangle array: row n lists the number of repeating digits of 1/2 through 1/(n+1) in base n+2, or 0 if it terminates.

Prime signature iterative mapping

A179216: Permutation of triangular array of numbers (greater than 1) arranged by prime signature.

A179217: Inverse function of A095904.

A179218: Inverse function of A179216.

A179219: Iterative mapping: a(1)=0, a(n)=A095904(a(n-1)).

A179220: Iterative mapping: a(1)=1, a(n)=A095904(a(n-1)).

A179221: Iterative mapping: a(1)=0, a(n)=A179216(a(n-1)).

A179222: Iterative mapping: a(1)=1, a(n)=A179216(a(n-1)).

A179223: Iterative mapping with offset: a(1)=1, a(n)=A095904(a(n-1)-1).

A179224: Iterative mapping with offset: a(1)=200662, a(n)=A095904(a(n-1)-1).

A179225: Iterative mapping with offset: a(1)=1, a(n)=A179216(a(n-1)-1).

A179226: Iterative mapping with offset: a(1)=1927639, a(n)=A179216(a(n-1)-1).

A179227: Iterative mapping with offset: a(1)=46465694290, a(n)=A095904(a(n-1)-2).

A179228: Iterative mapping with offset: a(1)=49632504515, a(n)=A179216(a(n-1)-2).

Prime signatures/factorization

A133492: Primorial numbers raised to the power of 2^n (where n is a non-negative integer), sorted.

A147516: List giving least odd integer of each prime signature.

A178739: Product of the 4th power of a prime (A030514) and a different prime.

A178740: Product of the 5th power of a prime (A050997) and a different prime.

A178799: Difference between consecutive least integers of each prime signature.

A178800: Smaller of two consecutive numbers with prime signature {1,2,3}.

A178810: Largest possible number of consecutive integers with prime signature of A025487(a(n)).

A178811: The smallest integer that begins the largest run of consecutive integers with the same prime signature, sorted by prime signature.

A178849: n-th integer having n-th prime-containing prime signature.

A179371: a(1) = 1; a(n) = smallest positive integer not already used which has a prime signature different from both a(n-1) and a(n-1)+1.

A179372: a(1) = 1; a(n) = smallest positive integer not already used which has a prime signature different from a(n-1), a(n-1)+1 and a(n-1)-1.

Chemical elements

A179301: Number of stable isotopes of element n.

English names & Roman numerals

A178714: Smallest number whose Roman numeral representation shares no letters with the previous number in the sequence.

A178724: Non-negative integers whose English name has at least one letter in common with the English name of all other integers.

A178726: Smallest non-negative integer whose English name has no letters in common with the English name of the previous term (starting with 0).

A178727: Smallest non-negative integer whose English name has no letters in common with the English name of the previous term (starting with 8).

A178728: Number of terms in a "no English letters in common" sequence.