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A309298 (1/6) times the sum of the elements of all subsets of [n] whose sum is divisible by six. 2
0, 0, 0, 1, 2, 7, 20, 49, 132, 330, 786, 1892, 4472, 10368, 23940, 54720, 123836, 278664, 622896, 1383672, 3058720, 6729184, 14738688, 32157312, 69907200, 151461952, 327158208, 704648448, 1513680192, 3243601280, 6934595840, 14793782400, 31496441856, 66929938944 (list; graph; refs; listen; history; text; internal format)
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,-12,14,-36,72,-60,72,-144,104,-48,96,-64).

FORMULA

G.f.: -x^3*(96*x^16-80*x^15+8*x^14-140*x^13+112*x^12+12*x^11 +40*x^10 -36*x^9 -32*x^8 +32*x^7 -14*x^6 +20*x^5 -21*x^4+12*x^3-7*x^2 +4*x-1) / ((2*x-1)^3 *(2*x^3-1)^3).

CROSSREFS

Column k=6 of A309280.

Sequence in context: A244307 A270109 A123203 * A335927 A261054 A134311

Adjacent sequences: A309295 A309296 A309297 * A309299 A309300 A309301

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Jul 21 2019

STATUS

approved

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Last modified February 9 05:01 EST 2023. Contains 360153 sequences. (Running on oeis4.)