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

0,2

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).

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).

Crossrefs

Cf. A282011.

Sequence in context: A375253 A359094 A255052 * A180285 A344064 A055298

Adjacent sequences: A282083 A282084 A282085 * A282087 A282088 A282089

Keyword

nonn,easy

Author

Alois P. Heinz, Feb 05 2017

Status

approved