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Search: id:A144930
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A144930 Numbers k arising in A144929. +0
4
1, 109, 11989, 1318681, 145042921, 15953402629, 1754729246269, 193004263686961, 21228714276319441, 2334965566131451549 (list; graph; listen)
OFFSET

1,2

COMMENT

Numbers n such that exists x in N : (x+1)^3-x^3=7*n^2 Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 16 2008

FORMULA

a(n+2)=110*a(n+1)-a(n) [From Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 16 2008]

a(n)=(1/2)*{[55+12*sqrt(21)]^n+[55-12*sqrt(21)]^n}+(3/28)*sqrt(21)*{[55+12*sqrt(21)]^n}-[55-12*sqrt(21)]^n }, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 25 2008]

EXAMPLE

a(1)=1 because 2^3-1^3=7*1 [From Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 16 2008]

CROSSREFS

A144729, A144727, A144728 [From Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 16 2008]

Sequence in context: A059936 A061724 A145852 this_sequence A125044 A096209 A163597

Adjacent sequences: A144927 A144928 A144929 this_sequence A144931 A144932 A144933

KEYWORD

easy,nonn

AUTHOR

Richard Choulet (richardchoulet(AT)yahoo.fr), Sep 25 2008

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.


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