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 A070315 Third diagonal of triangle in A046739. 1
 1, 21, 161, 813, 3361, 12421, 42865, 141549, 453905, 1426725, 4422913, 13579309, 41408833, 125667333, 380081105, 1146795693, 3454279345, 10392196645, 31238454241, 93845384301, 281808780641, 845996765061, 2539181475121, 7620027450733, 22865249731921 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,2 LINKS D. P. Roselle, Permutations by number of rises and successions, Proc. Amer. Math. Soc., 19 (1968), 8-16. D. P. Roselle, Permutations by number of rises and successions, Proc. Amer. Math. Soc., 19 (1968), 8-16. [Annotated scanned copy] Index entries for linear recurrences with constant coefficients, signature (10,-40,82,-91,52,-12). FORMULA a(n) = 3^n - (3n+2)*2^(n-1) + 2n^2. - Ralf Stephan, May 09 2004 G.f.: -x^4*(12*x^5-40*x^4+39*x^3+9*x^2-11*x-1) / ((x-1)^3*(2*x-1)^2*(3*x-1)). [Colin Barker, Feb 03 2013] PROG (PARI) a(n) = 3^n - (3*n+2)*2^(n-1) + 2*n^2; \\ Michel Marcus, Oct 25 2017 CROSSREFS Cf. A046739. Sequence in context: A296832 A267473 A179097 * A242191 A146301 A338891 Adjacent sequences:  A070312 A070313 A070314 * A070316 A070317 A070318 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, May 15 2002 EXTENSIONS More terms from Larry Reeves (larryr(AT)acm.org), Oct 01 2002 More terms from Colin Barker, Feb 03 2013 STATUS approved

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Last modified December 4 12:55 EST 2021. Contains 349525 sequences. (Running on oeis4.)