A116989 Inverse Moebius transform of 6-simplex numbers A000579.

1, 925, 1135716, 593223373, 130220375812, 14195655302684, 893936543319276, 36397263567477054, 1025115791220794876, 21899052879460199956, 372805053916689840596, 5076066733212581886566, 57875038239259949679248

Offset

0,2

Links

Table of n, a(n) for n=0..12.

Formula

a(n) = SUM[d|n] d*(d+1)*(d+2)*(d+3)*(d+4)*(d+5)/720. a(n) = SUM[d|n] C(d,6). a(n) = SUM[d|n] A000579(d). a(n) = SUM[d|n] (1/720)d^6+(1/48)d^5+(17/144)d^4+(5/16)d^3+(137/360)d^2+(1/6)d.

Crossrefs

See also: A007437 = inverse Moebius transform of triangular numbers, A116963 = inverse Moebius transform of tetrahedral numbers. Cf. A073570, A101289.

Cf. A000389, A000579, A007437, A116963, A101289.

Sequence in context: A245791 A229641 A147548 * A152503 A099688 A257485

Adjacent sequences: A116986 A116987 A116988 * A116990 A116991 A116992

Keyword

easy,nonn

Author

Jonathan Vos Post, Apr 02 2006

Status

approved