A130464 Main diagonal of square array A130462.

1, 2, 12, 83, 617, 4759, 37649, 303372, 2480181, 20518329, 171457967, 1445229218, 12274844031, 104959302925, 902902513636, 7809311838692, 67875146116705, 592568780652517, 5194275815373130, 45700207950481330, 403444930677602011

Offset

0,2

Comments

All upper diagonals of square array A130462 have a g.f. D(x,n) equal to the product of this main diagonal g.f. D(x,0) and a power of G(x), the g.f. of A002293: D(x,n) = D(x,0)*G(x)^n, where G(x) satisfies G(x) = 1 + x*G(x)^4.

Links

Table of n, a(n) for n=0..20.

Example

Square array A130462 begins:
(1), 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...;
(1), (2), 3, 4, 5, 6, 7, 8, 9, 10, ...;
(3), 7, (12), 18, 25, 33, 42, 52, ...;
(7), 25, 50, (83), 125, 177, 240, ...;
(25), 75, 200, 377, (617), 932, ...;
(75), 275, 652, 1584, 2919, (4759), ...; ...
where row n+1 equals the partial sums of the sequence resulting from removing the terms in the first column and main diagonal from row n.

Crossrefs

Cf. A130462 (array), A130463 (first column); A002293.

Sequence in context: A052864 A355378 A136278 * A319326 A214765 A006657

Adjacent sequences: A130461 A130462 A130463 * A130465 A130466 A130467

Keyword

nonn

Author

Paul D. Hanna, May 26 2007

Status

approved