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A309302
(1/10) times the sum of the elements of all subsets of [n] whose sum is divisible by ten.
2
0, 0, 0, 0, 1, 3, 7, 17, 46, 116, 284, 677, 1595, 3730, 8610, 19680, 44580, 100272, 224144, 498104, 1101072, 2422264, 5305804, 11576316, 25165920, 54526160, 117776220, 253671540, 544924088, 1167694512, 2496450336, 5325759912, 11338713768, 24094766848
OFFSET
0,6
LINKS
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^4*(160*x^26-80*x^25+8*x^24-28*x^23+12*x^22-208*x^21 +80*x^20 -4*x^19 +48*x^18 -4*x^17 +48*x^16 +12*x^15 -8*x^14-30*x^13 -10*x^12 +40*x^11 -38*x^10 +12*x^9+5*x^8+9*x^7-22*x^6+18*x^5-4*x^4 -3*x^3 -x^2 +3*x-1) / ((2*x-1)^3 *(2*x^5-1)^3).
CROSSREFS
Column k=10 of A309280.
Sequence in context: A106191 A062810 A113985 * A320774 A151265 A351437
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Jul 21 2019
STATUS
approved