A096540 Quotients T(p,k)/p, where T(p,k) is the sub-triangle defined in A096539 of the triangle of coefficients of Lucas polynomials (cf. A034807).

1, 1, 1, 1, 1, 2, 1, 1, 4, 7, 5, 1, 1, 5, 12, 14, 7, 1, 1, 7, 26, 55, 66, 42, 12, 1, 1, 8, 35, 91, 143, 132, 66, 15, 1, 1, 10, 57, 204, 476, 728, 715, 429, 143, 22, 1, 1, 13, 100, 506, 1771, 4389, 7752, 9690, 8398, 4862, 1768, 364, 35, 1, 1, 14, 117, 650, 2530, 7084, 14421

Offset: 1

Author

Lekraj Beedassy, Jun 24 2004

Keywords

• nonn
• tabf

Crossrefs

Cf. A034807, A096539.

Row sums are in A064723. - Klaus Brockhaus, May 29 2009

Programs

PARI

T(n,k)=if(k<0 || 2*k>n,0,binomial(n-k,k)+binomial(n-k-1,k-1)+(n==0 && k==0)) \\from A034807
forprime(p=2,31, for(k=1,p\2,print1(T(p,k)/p,",")))

Extensions

Edited and extended by Klaus Brockhaus, Jun 27 2004