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A114949 n^2 + 6. 2
6, 7, 10, 15, 22, 31, 42, 55, 70, 87, 106, 127, 150, 175, 202, 231, 262, 295, 330, 367, 406, 447, 490, 535, 582, 631, 682, 735, 790, 847, 906, 967, 1030, 1095, 1162, 1231, 1302, 1375, 1450, 1527, 1606, 1687, 1770, 1855, 1942, 2031, 2122, 2215, 2310, 2407, 2506 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

FORMULA

a(n)=3*a(n-1)-3*a(n-2)+a(n-3). G.f.: -(6-11*x+7*x^2)/(x-1)^3 [R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 17 2009]

a(n)=2*n+a(n-1)-1 (with a(0)=6) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2010]

MATHEMATICA

a[n_]:=n^2+6; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 15 2008]

PROG

(PARI) g(n) = for(x=1, n, y=x^2+6; print1(y", "))

CROSSREFS

A002522, A059100, A117950, A087475, A117951, A117619 [Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 16 2009]

Sequence in context: A083133 A101972 A102727 * A081359 A015825 A164018

Adjacent sequences:  A114946 A114947 A114948 * A114950 A114951 A114952

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)gmail.com), Feb 21 2006

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.