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A027621 a(n) = n + (n+1)^2 + (n+2)^3 + (n+3)^4. 4
90, 288, 700, 1440, 2646, 4480, 7128, 10800, 15730, 22176, 30420, 40768, 53550, 69120, 87856, 110160, 136458, 167200, 202860, 243936, 290950, 344448, 405000, 473200, 549666, 635040, 729988, 835200, 951390, 1079296, 1219680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

P. De Geest, Palindromic Quasi_Under_Squares of the form n+(n+1)^2

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

G.f.: -16/(-1+x) - 24/(-1+x)^5 + 16/(-1+x)^2 - 16/(-1+x)^3 + 18/(-1+x)^4. - R. J. Mathar, Feb 22 2008

a(n) = (n+3)^2*(n^2 + 7*n + 10). - Bruno Berselli, Aug 05 2011

MATHEMATICA

Table[Total[Table[(n+i)^(i+1), {i, 0, 3}]], {n, 0, 30}] (* or *) LinearRecurrence[ {5, -10, 10, -5, 1}, {90, 288, 700, 1440, 2646}, 40] (* Harvey P. Dale, Jun 08 2017 *)

PROG

(Sage) [i+(i+1)^2+(i+2)^3+(i+3)^4 for i in xrange(0, 36)] # Zerinvary Lajos, Jul 03 2008

(MAGMA) [n + (n+1)^2 + (n+2)^3 + (n+3)^4: n in [0..30]]; // Vincenzo Librandi, Aug 05 2011

CROSSREFS

Sequence in context: A255784 A250877 A250878 * A245866 A157888 A201103

Adjacent sequences:  A027618 A027619 A027620 * A027622 A027623 A027624

KEYWORD

nonn,easy

AUTHOR

Patrick De Geest

STATUS

approved

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Last modified March 26 04:32 EDT 2019. Contains 321481 sequences. (Running on oeis4.)