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
KEYWORD
nonn,easy
AUTHOR
Luciano Ancora, Jan 28 2015
STATUS
approved