The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A205966 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A205966

a(n) = Fibonacci(n)*A004016(n) for n>=1, with a(0)=1, where A004016(n) is the number of integer solutions (x,y) to x^2 + x*y + y^2 = n.
(history; published version)

#13 by Bruno Berselli at Sun Mar 05 17:05:22 EST 2017

STATUS

proposed

approved

#12 by G. C. Greubel at Sun Mar 05 14:24:52 EST 2017

STATUS

editing

proposed

#11 by G. C. Greubel at Sun Mar 05 14:24:42 EST 2017

LINKS

G. C. Greubel, <a href="/A205966/b205966.txt">Table of n, a(n) for n = 0..1000</a>

MATHEMATICA

A004016[n_] := SeriesCoefficient[(QPochhammer[q]^3 + 9 q QPochhammer[q^9]^3)/QPochhammer[q^3], {q, 0, n}]; Join[{1}, Table[Fibonacci[n]*b[n], {n, 1, 50}]] (* G. C. Greubel, Mar 05 2017 *)

STATUS

approved

editing

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

AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Feb 03 2012

Discussion

Fri Mar 30

18:37

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

#9 by Paul D. Hanna at Sat Mar 10 10:11:33 EST 2012

STATUS

editing

approved

#8 by Paul D. Hanna at Sat Mar 10 10:11:21 EST 2012

CROSSREFS

Cf. A209446 (Pell variant).

STATUS

approved

editing

#7 by Bruno Berselli at Sat Feb 04 10:15:47 EST 2012

STATUS

proposed

approved

#6 by Paul D. Hanna at Sat Feb 04 08:30:02 EST 2012

STATUS

editing

proposed

#5 by Paul D. Hanna at Sat Feb 04 08:29:42 EST 2012

CROSSREFS

Cf. A004016, A205965, A205967, A203847, A000204 (Lucas).

STATUS

proposed

editing

#4 by Paul D. Hanna at Sat Feb 04 00:04:10 EST 2012

STATUS

editing

proposed