A096539 -id:A096539 - cp's OEIS frontend

A160909 Row sums of triangle defined in A096539.

2, 3, 10, 28, 198, 520, 3570, 9348, 64078, 1149850, 3010348, 54018520, 370248450, 969323028, 6643838878, 119218851370, 2139295485798, 5600748293800, 100501350283428, 688846502588398, 1803423556807920, 32361122672259148

Offset: 1

Klaus Brockhaus, May 29 2009

nonn

Cf. A096539, A034807, A180363.

[ &+[ Binomial(n-k, k)+Binomial(n-k-1, k-1): k in [1..n div 2] ]: n in [1..80] | IsPrime(n) ];

a(n) = A180363(n) - 1. - Jon Maiga, Jul 24 2019

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).

Original entry on oeis.org

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

Lekraj Beedassy, Jun 24 2004

Cf. A034807, A096539.

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

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,",")))

Edited and extended by Klaus Brockhaus, Jun 27 2004

cp's OEIS Frontend

A160909 Row sums of triangle defined in A096539.

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