Number of 10-element subsets of [n] having a prime element sum.

Terms

a(0) =0a(1) =2a(2) =17a(3) =72a(4) =236a(5) =629a(6) =1595a(7) =3997a(8) =9471a(9) =20149a(10) =38930a(11) =70447a(12) =123090a(13) =210770a(14) =355651a(15) =590703a(16) =964039a(17) =1543512a(18) =2423915a(19) =3732549a(20) =5636518a(21) =8348518a(22) =12139004a(23) =17351874a(24) =24431558a(25) =33952483a(26) =46660067a(27) =63511160a(28) =85724877a(29) =114828861