A132611 Column 0 of triangle A132610.

1, 1, 2, 14, 194, 4114, 118042, 4274612, 186932958, 9577713250, 562450162646, 37232881004442, 2742420824107648, 222414345991567630, 19691735781407563460, 1889658596054736522248, 195353325211864635176182, 21643625444562045727620930

Offset

0,3

Comments

Triangle T=A132610 is generated by even matrix powers of itself such that row n+1 of T = row n of T^(2n) with appended '1' for n>=0 with T(0,0)=1.

Links

Table of n, a(n) for n=0..17.

Prog

(PARI) {a(n)=local(k=0, A=vector(n+1), p); A[1]=1; for(j=1, n-k-1, p=(n-1)^2-(n-j-1)^2; A=Vec((Polrev(A)+x*O(x^p))/(1-x))); A=Vec((Polrev(A)+x*O(x^p))/(1-x)); A[p+1]}
for(n=0, 25, print1(a(n), ", "))
(PARI) {a(n)=local(A=[1]); for(i=1, n, A=Vec(Ser(A)/(1-x)^(2*(#A)-3)); A=concat(A, A[#A])); A[#A]}
for(n=0, 25, print1(a(n), ", "))

Crossrefs

Cf. A132610 (triangle); other columns: A132612, A132613; A132614.

Sequence in context: A268005 A158102 A067902 * A156327 A047796 A305112

Adjacent sequences: A132608 A132609 A132610 * A132612 A132613 A132614

Keyword

nonn

Author

Paul D. Hanna, Aug 23 2007

Status

approved