OFFSET
2,3
COMMENTS
For a table of coefficients of these polynomials without factors removed see A209849. - Peter Bala, Mar 16 2012
REFERENCES
E. Kilic, Y. T. Ulutas and N. Omur, Formulas for weighted binomial sums using the powers of terms of binary recurrences, Miskolc Mathematical Notes, Vol. 13 (2012), No. 1, pp. 53-65. - From N. J. A. Sloane, Dec 16 2012
LINKS
Eric Weisstein's World of Mathematics, Binomial Sums
EXAMPLE
1;
1, 3;
1, 5, -2;
1, 10, 15, -10;
1, 14, 31, -46, 16;
...
E.g. Sum[binomial[n,k]k^4,{k,0,n}] = 2^(-4 + n)*n*(1 + n)*(-2 + 5*n + n^2)
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Eric W. Weisstein, Jan 15 2005
STATUS
approved