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Search: id:A065102
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| A065102 |
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a(0) = c, a(1) = p*c^3; a(n+2) = p*c^2*a(n+1) - a(n), for p = 2, c = 3. |
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1
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| 3, 54, 969, 17388, 312015, 5598882, 100467861, 1802822616, 32350339227, 580503283470, 10416708763233, 186920254454724, 3354147871421799, 60187741431137658, 1080025197889056045, 19380265820571871152
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Tanya Khovanova, Recursive Sequences
J.-P. Ehrmann et al., Problem POLYA002, Integer pairs (x,y) for which (x^2+y^2)/(1+pxy) is an integer.
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FORMULA
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G.f.: 3/(1-18*x+x^2).
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MATHEMATICA
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a[0] = c; a[1] = p*c^3; a[n_] := a[n] = p*c^2*a[n - 1] - a[n - 2]; p = 2; c = 3; Table[ a[n], {n, 0, 20} ]
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PROGRAM
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(PARI): polya002(2, 3, 17). For definition of function polya002 see A052530.
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CROSSREFS
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Sequence in context: A092448 A045481 A119294 this_sequence A003776 A091826 A091796
Adjacent sequences: A065099 A065100 A065101 this_sequence A065103 A065104 A065105
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KEYWORD
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easy,nonn
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AUTHOR
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njas, Nov 12 2001
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EXTENSIONS
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More terms from Marc LeBrun (mlb(AT)well.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 12 2001
Gen. func. from Floor van Lamoen (fvlamoen(AT)hotmail.com), Feb 07 2002
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