A105335 a(n) = n*(n+1)/2 mod 64.

0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 2, 14, 27, 41, 56, 8, 25, 43, 62, 18, 39, 61, 20, 44, 5, 31, 58, 22, 51, 17, 48, 16, 49, 19, 54, 26, 63, 37, 12, 52, 29, 7, 50, 30, 11, 57, 40, 24, 9, 59, 46, 34, 23, 13, 4, 60, 53, 47, 42, 38, 35, 33, 32, 32, 33, 35, 38, 42, 47, 53, 60, 4, 13

Offset

0,3

Links

Table of n, a(n) for n=0..73.

Formula

G.f. = p(x)/q(x) where p(x) has degree 124, and q(x) = (x-1)*(x^2+1)*(x^4+1)*(x^8+1)*(x^16+1)*(x^32+1)*(x^64+1), which has coefficients which are alternately +1 and -1 (when expanded). Compare the g.f. for binary partitions, A018819. - Harvey P. Dale and N. J. A. Sloane, Jul 17 2020

Mathematica

Mod[Accumulate[Range[0, 80]], 64] (* Harvey P. Dale, Jul 17 2020 *)

Crossrefs

See A105198 for further information.

Cf. A018819.

Sequence in context: A341192 A071817 A033442 * A130489 A211024 A261422

Adjacent sequences: A105332 A105333 A105334 * A105336 A105337 A105338

Keyword

nonn

Author

Oscar Takeshita, May 01 2005

Status

approved