A254148 a(n) = 9*2^n + 7*4^n + 3*8^n + 8*3^n + 2*9^n + 6*5^n + 5*6^n + 4*7^n + 10^n + 10.

55, 220, 1210, 7942, 57838, 450670, 3682030, 31153342, 270739678, 2403012910, 21693441550, 198578979742, 1838853136318, 17193665419150, 162090976108270, 1538867288166142, 14698448516729758, 141129617123665390, 1361277292619082190

Offset

0,1

Comments

This is the sequence of tenth terms of "second partial sums of m-th powers".

Links

Colin Barker, Table of n, a(n) for n = 0..999

Luciano Ancora, Demonstration of formulas

Index entries for linear recurrences with constant coefficients, signature (55,-1320,18150,-157773,902055,-3416930,8409500,-12753576,10628640,-3628800).

Formula

G.f.: -(80627040*x^9 -184920912*x^8 +175484892*x^7 -91478420*x^6 +29111445*x^5 -5902743*x^4 +766458*x^3 -61710*x^2 +2805*x -55) / ((x -1)*(2*x -1)*(3*x -1)*(4*x -1)*(5*x -1)*(6*x -1)*(7*x -1)*(8*x -1)*(9*x -1)*(10*x -1)). - Colin Barker, Jan 28 2015

Prog

(PARI) vector(30, n, n--; 9*2^n + 7*4^n + 3*8^n + 8*3^n + 2*9^n + 6*5^n + 5*6^n + 4*7^n + 10^n + 10) \\ Colin Barker, Jan 28 2015

Crossrefs

Cf. A052548, A254028, A254030, A254031, A254144, A254145, A254146, A254147.

Sequence in context: A158646 A294461 A013550 * A271738 A280888 A158658

Adjacent sequences: A254145 A254146 A254147 * A254149 A254150 A254151

Keyword

nonn,easy

Author

Luciano Ancora, Jan 28 2015

Status

approved