The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A005970

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A005970

Partial sums of squares of Lucas numbers.
(history; published version)

#45 by R. J. Mathar at Tue Jul 09 09:07:17 EDT 2024

STATUS

editing

approved

#44 by R. J. Mathar at Tue Jul 09 09:06:59 EDT 2024

FORMULA

a(n) - a(n-1) = A001254(n).

STATUS

approved

editing

#43 by R. J. Mathar at Tue Jul 09 07:45:12 EDT 2024

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reviewed

approved

#42 by Stefano Spezia at Tue Jul 09 07:35:40 EDT 2024

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proposed

reviewed

#41 by Michel Marcus at Tue Jul 09 07:31:15 EDT 2024

STATUS

editing

proposed

#40 by Michel Marcus at Tue Jul 09 07:31:12 EDT 2024

LINKS

Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992, ; arXiv:0911.4975 [math.NT], 2009.

STATUS

proposed

editing

#39 by Stefano Spezia at Tue Jul 09 07:17:17 EDT 2024

STATUS

editing

proposed

#38 by Stefano Spezia at Tue Jul 09 07:17:04 EDT 2024

CROSSREFS

Cf. A000032, A215602.

#37 by Stefano Spezia at Tue Jul 09 07:16:21 EDT 2024

FORMULA

G.f.: [(1+7x7*x-4x4*x^2])/[((1-x)*(1+x)*(1-3x3*x+x^2)]). - Simon Plouffe in his 1992 dissertation

a(n) = L(n)*L(n+1) - 2 = A215602(n) - 2. (End)

STATUS

proposed

editing

#36 by R. J. Mathar at Tue Jul 09 07:14:34 EDT 2024

STATUS

editing

proposed