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A177059 a(n) = 25*n^2 + 25*n + 6. 6
6, 56, 156, 306, 506, 756, 1056, 1406, 1806, 2256, 2756, 3306, 3906, 4556, 5256, 6006, 6806, 7656, 8556, 9506, 10506, 11556, 12656, 13806, 15006, 16256, 17556, 18906, 20306, 21756, 23256, 24806, 26406, 28056, 29756, 31506, 33306, 35156, 37056 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

a(n) = (5n + 2)*(5n + 3).

a(n) = 50*n + a(n-1) with a(0)=6.

a(n) = 25*A002061(n+1) - 19. - Reinhard Zumkeller, Jun 16 2010

G.f.: (6 + 38*x + 6*x^2)/(1-x)^3. - Vincenzo Librandi, Feb 03 2012

MATHEMATICA

LinearRecurrence[{3, -3, 1}, {6, 56, 156}, 50] (* Vincenzo Librandi, Feb 03 2012 *)

PROG

(PARI) a(n)=25*n^2+25*n+6 \\ Charles R Greathouse IV, Dec 28 2011

(MAGMA) I:=[6, 56, 156]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+1*Self(n-3): n in [1..40]]; // Vincenzo Librandi, Feb 03 2012

CROSSREFS

Cf. A177060, A177065, A177071, A177072, A177073.

Sequence in context: A045526 A164579 A137034 * A053127 A068495 A166766

Adjacent sequences:  A177056 A177057 A177058 * A177060 A177061 A177062

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, May 31 2010

STATUS

approved

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Last modified October 21 06:03 EDT 2018. Contains 316405 sequences. (Running on oeis4.)