A sequence derived from pentagonal numbers, or a Stirling number of the first kind matrix.

Terms

a(0) =6a(1) =35a(2) =105a(3) =234a(4) =440a(5) =741a(6) =1155a(7) =1700a(8) =2394a(9) =3255a(10) =4301a(11) =5550a(12) =7020a(13) =8729a(14) =10695a(15) =12936a(16) =15470a(17) =18315a(18) =21489a(19) =25010a(20) =28896a(21) =33165a(22) =37835a(23) =42924a(24) =48450a(25) =54431a(26) =60885a(27) =67830a(28) =75284a(29) =83265