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 A090198 a(n) = N(5,n), where N(5,x) is the 5th Narayana polynomial. 6
 1, 42, 197, 562, 1257, 2426, 4237, 6882, 10577, 15562, 22101, 30482, 41017, 54042, 69917, 89026, 111777, 138602, 169957, 206322, 248201, 296122, 350637, 412322, 481777, 559626, 646517, 743122, 850137, 968282, 1098301, 1240962, 1397057 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1). FORMULA a(n) = N(5, n) = Sum_{k>0} A001263(5, k)*n^(k-1) = n^4 +10*n^3 +20*n^2 +10*n +1. G.f.: (1 +37*x -3*x^2 -13*x^3 +2*x^4)/(1-x)^5. - Philippe Deléham, Apr 03 2013 E.g.f.: (1 +41*x +57*x^2 +16*x^3 +x^4)*exp(x). - G. C. Greubel, Feb 16 2021 MAPLE A090198:= n-> n^4 +10*n^3 +20*n^2 +10*n +1; seq(A090198(n), n=0..40) # G. C. Greubel, Feb 16 2021 MATHEMATICA LinearRecurrence[{5, -10, 10, -5, 1}, {1, 42, 197, 562, 1257}, 40] (* Harvey P. Dale, Mar 06 2020 *) PROG (PARI) a(n) = n^4+10*n^3+20*n^2+10*n+1 \\ Charles R Greathouse IV, Jan 17 2012 (Sage) [n^4 +10*n^3 +20*n^2 +10*n +1 for n in (0..40)] # G. C. Greubel, Feb 16 2021 (Magma) [n^4 +10*n^3 +20*n^2 +10*n +1: n in [0..40]]; // G. C. Greubel, Feb 16 2021 CROSSREFS Cf. A001263, A008550, A090199, A090200. Sequence in context: A116871 A158484 A154047 * A299056 A299817 A236278 Adjacent sequences: A090195 A090196 A090197 * A090199 A090200 A090201 KEYWORD nonn,easy AUTHOR Philippe Deléham, Jan 22 2004 EXTENSIONS Corrected by T. D. Noe, Nov 08 2006 STATUS approved

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Last modified December 4 08:19 EST 2023. Contains 367557 sequences. (Running on oeis4.)