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A105038 Nonnegative n such that 6*n^2 + 6*n + 1 is a square. 5
0, 4, 44, 440, 4360, 43164, 427284, 4229680, 41869520, 414465524, 4102785724, 40613391720, 402031131480, 3979697923084, 39394948099364, 389969783070560, 3860302882606240, 38213059042991844, 378270287547312204 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: 4*x/(1-11*x+11*x^2-x^3)

PROG

(PARI) for(n=0, 427284, if(issquare(6*n*(n+1)+1), print1(n, ", ")))

CROSSREFS

Cf. A001652, A001570, A049629, A105040, A104240, A077288, A105036, A103200, A105037.

Equals (A072256(n+1) - 1)/2.

Sequence in context: A198962 A002754 A187870 * A002278 A112897 A163013

Adjacent sequences:  A105035 A105036 A105037 * A105039 A105040 A105041

KEYWORD

nonn

AUTHOR

Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Apr 03 2005

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 05 2005

Incorrect conjectures deleted by N. J. A. Sloane, Nov 24 2010

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Last modified February 16 10:39 EST 2012. Contains 205904 sequences.