

A309297


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


2



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
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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^1012*x^9+16*x^66*x^59*x^4+3*x^3+2*x1) / ((2*x1)^3 *(2*x^51)^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



