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A067725 Numbers such that 3 (3 + n) is a perfect square. +0
7
9, 24, 45, 72, 105, 144, 189, 240, 297, 360, 429, 504, 585, 672, 765, 864, 969, 1080, 1197, 1320, 1449, 1584, 1725, 1872, 2025, 2184, 2349, 2520, 2697, 2880, 3069, 3264, 3465, 3672, 3885, 4104, 4329, 4560, 4797, 5040, 5289, 5544, 5805, 6072, 6345, 6624 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n+1)= 3*n*n + 12*n + 9 (frank.ellermann(AT)t-online.de).

(n+(n+1)+(n+2))*(n+3) - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 24 2006

MAPLE

[seq((n+(n+1)+(n+2))*(n+3), n=0..49)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 24 2006

a:=n->sum(sum(3, j=2..n), k=0..n): seq(a(n), n=2..47); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 30 2007

MATHEMATICA

Select[ Range[10000], IntegerQ[ Sqrt[ 3(3 + # )]] & ]

CROSSREFS

Cf. 8: A067728, 7: A067727, 6: A067726, 5: A067724.

Sequence in context: A047720 A063066 A097658 this_sequence A001106 A023551 A022787

Adjacent sequences: A067722 A067723 A067724 this_sequence A067726 A067727 A067728

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 05 2002

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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