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 A192369 Number of lattice paths from (0,0) to (n,n) using steps (0,1), (0,2), (1,0), (2,0), and (2,2). 7
 1, 2, 15, 90, 617, 4248, 29945, 213404, 1535661, 11129314, 81123369, 594092166, 4367701295, 32216566492, 238301617605, 1766979857196, 13129849298327, 97746629874786, 728897653778335, 5443488765350770, 40706993579981847, 304779612155116444, 2284440756129389775, 17139937071103287600 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA G.f. is a nested square root, see Maple program. - Mark van Hoeij, Apr 16 2013 MAPLE p4 := (x-1)*(x^3+5*x^2+7*x-1); ogf := sqrt(((2*x^2+4*x-3)/p4-2/sqrt(p4))/(4*x^2-8*x-5)); series(ogf, x=0, 30); # Mark van Hoeij, Apr 16 2013 PROG (PARI) /* same as in A092566 but use */ steps=[[0, 1], [0, 2], [1, 0], [2, 0], [2, 2]]; /* Joerg Arndt, Jun 30 2011 */ CROSSREFS Sequence in context: A275794 A037746 A037627 * A037753 A037641 A288952 Adjacent sequences:  A192366 A192367 A192368 * A192370 A192371 A192372 KEYWORD nonn AUTHOR Eric Werley, Jun 29 2011 EXTENSIONS Terms > 81123369 from Joerg Arndt, Jun 30 2011 STATUS approved

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Last modified October 21 22:47 EDT 2019. Contains 328315 sequences. (Running on oeis4.)