A125807
Central terms of odd-indexed rows of triangle A125806: a(n) = A125806(2n+1,n).
Original entry on oeis.org
1, 3, 16, 119, 1070, 10762, 116546, 1330923, 15823388, 194168612, 2444224858, 31422225930, 411141476444, 5460849893348, 73474839110524, 999764999592077, 13738614091375204, 190450074950481408, 2660727794475865450
Offset: 0
-
{a(n)=local(C_q=if(n==0,1,prod(j=n+2,2*n+1,1-q^j)/prod(j=1,n,1-q^j))); sum(i=0,(n+1)*n,polcoeff(C_q,i)^2)}
A125808
Adjacent-to-central terms of even-indexed rows of triangle A125806: a(n) = A125806(2n+2,n).
Original entry on oeis.org
1, 4, 29, 256, 2592, 28160, 322873, 3850352, 47369432, 597565304, 7695966346, 100852014156, 1341310032320, 18067954497864, 246098396499471, 3384883529933828, 46960152641672616, 656538880287562528
Offset: 0
-
{a(n)=local(C_q=if(n==0,1,prod(j=n+3,2*n+2,1-q^j)/prod(j=1,n,1-q^j))); sum(i=0,(n+2)*n,polcoeff(C_q,i)^2)}
Original entry on oeis.org
1, 2, 4, 8, 18, 44, 120, 348, 1064, 3368, 10952, 36336, 122570, 419104, 1449672, 5064240, 17844558, 63356072, 226459120, 814323856, 2944055592, 10695723368, 39029679176, 142998497292, 525862368660, 1940381764088, 7182278240848
Offset: 0
-
{a(n)=sum(k=0,n,sum(i=0,(n-k)*k, polcoeff(if(n==0,1,prod(j=n-k+1,n,1-q^j)/prod(j=1,k,1-q^j)),i)^2))}
Showing 1-3 of 3 results.
Comments