A320440 Row sums of A225043.

0, 2, 4, 8, 11, 20, 22, 32, 31, 52, 56, 80, 79, 100, 94, 128, 137, 176, 172, 208, 193, 244, 254, 320, 266, 340, 283, 400, 407, 332, 466, 512, 499, 580, 569, 680, 667, 724, 745, 848, 821, 872, 904, 976, 1021, 1060, 1082, 1280, 1093, 1312, 1330, 1360, 1379, 1472, 1479, 1584, 1543

Offset

0,2

Links

Table of n, a(n) for n=0..56.

Nathan M Epstein, Python program

Formula

a(A000040(n)) = A072205(n) for n > 0.

Mathematica

a[n_]:=Sum[Mod[Binomial[n, k], n+1], {k, 0, n}]; Array[a, 100, 0] (* Stefano Spezia, Jan 09 2019 *)

Prog

(PARI) a(n) = sum(k=0, n, binomial(n, k) % (n+1)); \\ Michel Marcus, Jan 09 2019

Crossrefs

Cf. A000040, A062173, A072205, A225043.

Sequence in context: A180379 A033956 A282620 * A288149 A159693 A363735

Adjacent sequences: A320437 A320438 A320439 * A320441 A320442 A320443

Keyword

nonn

Author

Nathan M Epstein, Jan 09 2019

Status

approved