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A282082 Number of n-element subsets of [n+6] having an even sum. 2
1, 3, 12, 44, 110, 226, 452, 868, 1519, 2485, 3976, 6216, 9324, 13524, 19320, 27192, 37389, 50391, 67188, 88660, 115258, 147862, 188188, 237692, 297115, 367913, 452816, 554064, 672792, 811240, 973488, 1162800, 1380825, 1630827, 1918620, 2248764, 2623558 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: -(x^8-4*x^7+16*x^6-28*x^5+38*x^4-28*x^3+16*x^2-4*x+1) / ((x^2+1)^4*(x-1)^7).

a(n) = A282011(n+6,n).

EXAMPLE

a(0) = 1: {}.

a(1) = 3: {2}, {4}, {6}.

a(2) = 12: {1,3}, {1,5}, {1,7}, {2,4}, {2,6}, {2,8}, {3,5}, {3,7}, {4,6}, {4,8}, {5,7}, {6,8}.

CROSSREFS

Cf. A282011.

Sequence in context: A066987 A290918 A012873 * A167477 A190051 A220633

Adjacent sequences:  A282079 A282080 A282081 * A282083 A282084 A282085

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Feb 05 2017

STATUS

approved

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Last modified May 18 10:19 EDT 2021. Contains 343995 sequences. (Running on oeis4.)