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

Terms

a(0) =0a(1) =5a(2) =30a(3) =140a(4) =490a(5) =1491a(6) =3976a(7) =9696a(8) =21816a(9) =46126a(10) =92252a(11) =176232a(12) =323092a(13) =571802a(14) =980232a(15) =1633984a(16) =2655224a(17) =4217499a(18) =6560554a(19) =10014004a(20) =15021006a(21) =22174581a(22) =32253936a(23) =46278336a(24) =65560976a(25) =91786604a(26) =127089144a(27) =174160784a(28) =236361064a(29) =317866884