Triangle T(n,k) read by rows: Sum_{k=0..binomial(n,2)} T(n,k)*q^k = n!*Sum_{pi} faq(n,q)/Product_{i=1..n} e(i)!*faq(i,q)^e(i), where pi runs over all nonnegative integer solutions to e(1) + 2*e(2) + ... + n*e(n) = n and faq(i,q) = Product_{j=1..i} (q^j-1)/(q-1), i = 1..n.
A152474
Triangle T(n,k) read by rows: Sum_{k=0..binomial(n,2)} T(n,k)*q^k = n!*Sum_{pi} faq(n,q)/Product_{i=1..n} e(i)!*faq(i,q)^e(i), where pi runs over all nonnegative integer solutions to e(1) + 2*e(2) + ... + n*e(n) = n and faq(i,q) = Product_{j=1..i} (q^j-1)/(q-1), i = 1..n.
Terms
- a(0) =1a(1) =1a(2) =3a(3) =1a(4) =13a(5) =8a(6) =8a(7) =1a(8) =73a(9) =63a(10) =89a(11) =78a(12) =41a(13) =15a(14) =1a(15) =501a(16) =544a(17) =909a(18) =1095a(19) =1200a(20) =842a(21) =680a(22) =315a(23) =129a(24) =24a(25) =1a(26) =4051a(27) =5225a(28) =9734a(29) =13799
External references
- oeis: A152474