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

1,6

Links

Table of n, a(n) for n=1..67.

Prog

(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, ", ")))

Crossrefs

Cf. A034807, A096539.

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

Sequence in context: A294947 A265232 A011016 * A277081 A111569 A371926

Adjacent sequences: A096537 A096538 A096539 * A096541 A096542 A096543

Keyword

nonn,tabf

Author

Lekraj Beedassy, Jun 24 2004

Extensions

Edited and extended by Klaus Brockhaus, Jun 27 2004

Status

approved