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Search: id:A145323
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| A145323 |
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Numbers x such that there exists n in N : (x+1)^3-x^3=31*n^2 |
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1
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| 22, 546817, 13288758862, 322943417329657, 7848170914656577702, 190726249245040733996497, 4635029301304809002926304542, 112640481889583219144074318995337
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OFFSET
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1,1
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FORMULA
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a(n+2)=24302*a(n+1)-a(n)+12150
a(n)=-(1/2)+(7/6)*sqrt(93)*{[12151+1260*sqrt(93)]^n*sqrt(93)-[12151-1260*sqrt(93)]^n }+(45/4)*{[12151+1260*sqrt(93)]^n+[12151-1260*sqrt(93)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 25 2008]
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EXAMPLE
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a(1)=22 because the first relation is : 23^3-22^3=31*7^2
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CROSSREFS
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Sequence in context: A060619 A092212 A013770 this_sequence A013816 A104789 A047841
Adjacent sequences: A145320 A145321 A145322 this_sequence A145324 A145325 A145326
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KEYWORD
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nonn
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AUTHOR
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Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 07 2008
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