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A027621
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n + (n+1)^2 + (n+2)^3 + (n+3)^4.
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3
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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; internal format)
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OFFSET
| 0,1
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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 to sequences with linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
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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
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PROG
| sage: [i+(i+1)^2+(i+2)^3+(i+3)^4 for i in xrange(0, 36)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 03 2008
(MAGMA) [n + (n+1)^2 + (n+2)^3 + (n+3)^4: n in [0..30]]; // Vincenzo Librandi, Aug 05 2011
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CROSSREFS
| Sequence in context: A044422 A044803 A074213 * A157888 A201103 A179962
Adjacent sequences: A027618 A027619 A027620 * A027622 A027623 A027624
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KEYWORD
| nonn,easy
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com)
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