login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A130464 Main diagonal of square array A130462. 2
1, 2, 12, 83, 617, 4759, 37649, 303372, 2480181, 20518329, 171457967, 1445229218, 12274844031, 104959302925, 902902513636, 7809311838692, 67875146116705, 592568780652517, 5194275815373130, 45700207950481330, 403444930677602011 (list; graph; refs; listen; history; text; internal format)
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: A235348 A052864 A136278 * A319326 A214765 A006657

Adjacent sequences:  A130461 A130462 A130463 * A130465 A130466 A130467

KEYWORD

nonn

AUTHOR

Paul D. Hanna, May 26 2007

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 20:40 EST 2021. Contains 349589 sequences. (Running on oeis4.)