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 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 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

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