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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

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 January 17 20:36 EST 2020. Contains 330987 sequences. (Running on oeis4.)