A309298 - OEIS

A309298

(1/6) times the sum of the elements of all subsets of [n] whose sum is divisible by six.

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

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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,-12,14,-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: A270109 A360421 A123203 * A335927 A261054 A134311

Adjacent sequences: A309295 A309296 A309297 * A309299 A309300 A309301

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Jul 21 2019

STATUS

approved