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A106232 Least k > 0 such that (4*n^2 + 2)*(k^2) + (4*n^2 + 2)*k + 1 = j^2. +0
2
4, 4, 12, 24, 40, 60, 84, 112, 144, 180, 220, 264, 312, 364, 420 (list; graph; listen)
OFFSET

1,1

COMMENT

For k there is alway a recurrence for n=1 k(1,1)=0, k(2,1)=4 then k(i,1)=10*k(i-1,1)+4-k(i-3,n) for n>1 k(1,n)=0, k(2,n)=2*n^2-2*n, k(3,n)=2*n^2+2*n k(4,n)=(8*n^2+2)*k(2,n)+4*n^2 then k(i,n)=(8*n^2+2)*k(i-2,n)+4*n^2-k(i-4,n)

FORMULA

for n=1 k=4, for n > 1 k(n) = 2*n^2 - 2*n j sequence = A106231

a(n)=A046092(n-1), n>1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 28 2008]

CROSSREFS

Cf. A106231.

Sequence in context: A120033 A097073 A019085 this_sequence A038804 A088838 A127403

Adjacent sequences: A106229 A106230 A106231 this_sequence A106233 A106234 A106235

KEYWORD

nonn

AUTHOR

Pierre CAMI (pierrecami(AT)tele2.fr), Apr 26 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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