The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A204274 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A204274

G.f.: Sum_{n>=1} Pell(n^2)*x^(n^2).
(history; published version)

#15 by Alois P. Heinz at Mon Mar 25 11:15:27 EDT 2019

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proposed

approved

#14 by Jean-François Alcover at Mon Mar 25 11:15:02 EDT 2019

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editing

proposed

#13 by Jean-François Alcover at Mon Mar 25 11:14:58 EDT 2019

MATHEMATICA

CoefficientList[Sum[Fibonacci[n^2, 2] x^n^2/x, {n, 1, 8}], x] (* Jean-François Alcover, Mar 25 2019 *)

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approved

editing

#12 by Alois P. Heinz at Tue Nov 24 18:42:42 EST 2015

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proposed

approved

#11 by Robert Israel at Tue Nov 24 18:05:31 EST 2015

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editing

proposed

#10 by Robert Israel at Tue Nov 24 18:00:22 EST 2015

LINKS

Robert Israel, <a href="/A204274/b204274.txt">Table of n, a(n) for n = 1..2500</a>

MAPLE

pell:= gfun:-rectoproc({a(0)=0, a(1)=1, a(n)=2*a(n-1)+a(n-2)}, a(n), remember):

seq(`if`(issqr(n), pell(n), 0), n=1..100); # Robert Israel, Nov 24 2015

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approved

editing

#9 by Bruno Berselli at Mon Dec 31 03:04:47 EST 2012

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proposed

approved

#8 by Michel Marcus at Mon Dec 31 02:52:49 EST 2012

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editing

proposed

#7 by Michel Marcus at Mon Dec 31 02:50:50 EST 2012

COMMENTS

Compare g.f. to the Lambert series identity: Sum_{n>=1} lamdalambda(n)*x^n/(1-x^n) = Sum_{n>=1} x^(n^2); Liouville's function lambda(n) = (-1)^k, where k is number of primes dividing n (counted with multiplicity).

STATUS

approved

editing

#6 by Russ Cox at Fri Mar 30 18:37:34 EDT 2012

AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Jan 14 2012

Discussion

Fri Mar 30

18:37

OEIS Server: https://oeis.org/edit/global/213