A309301 (1/9) times the sum of the elements of all subsets of [n] whose sum is divisible by nine.

0, 0, 0, 0, 1, 3, 9, 23, 60, 150, 354, 843, 1983, 4608, 10638, 24318, 55043, 123862, 276868, 614996, 1359446, 2990726, 6550528, 14292132, 31069860, 67316446, 145403700, 313177200, 672746880, 1441600632, 3082042512, 6575014400, 13998418584, 29746639512

Offset

0,6

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, 110, -84, 168, -148, 216, -432, 360, -432, 864, -636, 360, -720, 552, -432, 864, -720, 864, -1728, 1256, -624, 1248, -880, 288, -576, 480, -576, 1152, -832, 384, -768, 512).

Formula

G.f.: -x^4*(64*x^33-160*x^30+32*x^29+80*x^28+216*x^27+96*x^26 -312*x^25 -160*x^24 -200*x^23 +376*x^22+40*x^21 -4*x^20+164*x^19-48*x^18 +60*x^17 -516*x^16 +114*x^15+4*x^14+340*x^13-79*x^12-30*x^11-78*x^10 +4*x^9 +45*x^8 -33*x^7+20*x^6-24*x^5+24*x^4-9*x^3+3*x^2 -3*x+1) / ((2*x-1)^3 *(2*x^3-1)^3 *(2*x^9-1)^3).

Crossrefs

Column k=9 of A309280.

Sequence in context: A077847 A027058 A146818 * A323798 A180488 A318860

Adjacent sequences: A309298 A309299 A309300 * A309302 A309303 A309304

Keyword

nonn,easy

Author

Alois P. Heinz, Jul 21 2019

Status

approved