A309297 (1/5) times the sum of the elements of all subsets of [n] whose sum is divisible by five.

0, 0, 0, 1, 4, 12, 29, 71, 186, 468, 1144, 2718, 6390, 14920, 34440, 78720, 178320, 401088, 896576, 1992416, 4404288, 9689056, 21223216, 46305264, 100663680, 218104640, 471104880, 1014686160, 2179696352, 4670778048, 9985801344, 21303039648, 45354855072

Offset

0,5

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-12,8,0,6,-36,72,-48,0,-12,72,-144,96,0,8,-48,96,-64).

Formula

G.f.: -x^3*(8*x^13+16*x^10-12*x^9+16*x^6-6*x^5-9*x^4+3*x^3+2*x-1) / ((2*x-1)^3 *(2*x^5-1)^3).

Crossrefs

Column k=5 of A309280.

Sequence in context: A062421 A036889 A036895 * A296645 A280007 A061726

Adjacent sequences: A309294 A309295 A309296 * A309298 A309299 A309300

Keyword

nonn,easy

Author

Alois P. Heinz, Jul 21 2019

Status

approved