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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). 0
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 (list; graph; refs; listen; history; text; internal format)
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 A213786

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

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Last modified December 13 06:26 EST 2019. Contains 329968 sequences. (Running on oeis4.)