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A027604 n^3 + (n+1)^3 + (n+2)^3 + (n+3)^3 + (n+4)^3. 2
100, 225, 440, 775, 1260, 1925, 2800, 3915, 5300, 6985, 9000, 11375, 14140, 17325, 20960, 25075, 29700, 34865, 40600, 46935, 53900, 61525, 69840, 78875, 88660, 99225, 110600, 122815, 135900, 149885, 164800, 180675, 197540 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

P. De Geest, Palindromic Sums of Cubes of Consecutive Integers

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n)=+4*a(n-1)-6*a(n-2)+4*a(n-3)-1*a(n-4) for n>=4

Contribution from Bruno Berselli, Jan 24 2011: (Start)

G.f.: 5*(20-35*x+28*x^2-7*x^3)/(1-x)^4.

a(n) = 5*n^3+30*n^2+90*n+100 = A008587(n+2)*A114949(n+2). (End)

MATHEMATICA

Table[n^3 + (n + 1)^3 + (n + 2)^3 + (n + 3)^3 + (n + 4)^3, {n, 0, 60}] (* Vladimir Joseph Stephan Orlovsky, Jun 27 2011 *)

PROG

(Sage) [n^3+(n+1)^3+(n+2)^3+(n+3)^3+(n+4)^3 for n in xrange(0, 35)] - Zerinvary Lajos, Jul 03 2008

(MAGMA) [5*n^3+30*n^2+90*n+100: n in [0..40]]; // Vincenzo Librandi, Jun 04 2011

(PARI) a(n)=5*((n+6)*n+18)*n+100 \\ Charles R Greathouse IV, Jun 28 2011

CROSSREFS

Sequence in context: A188245 A122467 A185792 * A116145 A248550 A261276

Adjacent sequences:  A027601 A027602 A027603 * A027605 A027606 A027607

KEYWORD

nonn,easy

AUTHOR

Patrick De Geest

STATUS

approved

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Last modified September 24 04:27 EDT 2017. Contains 292403 sequences.