A282086 Number of n-element subsets of [n+10] having an even sum.

1, 5, 30, 146, 511, 1491, 3976, 9752, 21942, 46126, 92252, 176484, 323554, 571802, 980232, 1634776, 2656511, 4217499, 6560554, 10016006, 15024009, 22174581, 32253936, 46282704, 65567164, 91786604, 127089144, 174169352, 236372692, 317866884, 423822512

Offset: 0

Author

Alois P. Heinz, Feb 05 2017

Keywords

• nonn
• easy

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11, -61, 231, -675, 1617, -3287, 5797, -9002, 12430, -15362, 17062, -17062, 15362, -12430, 9002, -5797, 3287, -1617, 675, -231, 61, -11, 1).

Crossrefs

Cf. A282011.

Formula

G.f.: -(x^4-2*x^3+4*x^2-2*x+1) * (x^8-4*x^7+24*x^6-44*x^5+62*x^4-44*x^3 + 24*x^2-4*x+1) / ((x^2+1)^6*(x-1)^11).

a(n) = A282011(n+10,n).