The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A003476 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A003476

a(n) = a(n-1) + 2*a(n-3).
(history; published version)

#44 by Alois P. Heinz at Sat Oct 21 19:24:06 EDT 2023

STATUS

editing

approved

#43 by Alois P. Heinz at Sat Oct 21 19:24:00 EDT 2023

NAME

a(n) = a(n-1) + 2a2*a(n-3).

DATA

1, 2, 3, 5, 9, 15, 25, 43, 73, 123, 209, 355, 601, 1019, 1729, 2931, 4969, 8427, 14289, 24227, 41081, 69659, 118113, 200275, 339593, 575819, 976369, 1655555, 2807193, 4759931, 8071041, 13685427, 23205289, 39347371, 66718225, 113128803, 191823545, 325259995

STATUS

reviewed

editing

#42 by Andrew Howroyd at Sat Oct 21 19:13:16 EDT 2023

STATUS

proposed

reviewed

#41 by Jon E. Schoenfield at Sat Oct 21 18:41:56 EDT 2023

STATUS

editing

proposed

#40 by Jon E. Schoenfield at Sat Oct 21 18:41:49 EDT 2023

LINKS

T. D. Noe, <a href="/A003476/b003476.txt">Table of n, a(n) for n = 1..500</a>

D. E. Daykin, <a href="/A003229/a003229.pdf">Letter to N. J. A. Sloane, Mar 1974</a>.

Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992.

MAPLE

A003476:=-(1+z+z**2)/(-1+z+2*z**3); [_# _Simon Plouffe_ in his 1992 dissertation.]

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#39 by Charles R Greathouse IV at Wed Apr 13 13:25:16 EDT 2022

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.

Discussion

Wed Apr 13

13:25

OEIS Server: https://oeis.org/edit/global/2938

#38 by Peter Luschny at Sat Oct 16 15:39:44 EDT 2021

STATUS

reviewed

approved

#37 by Joerg Arndt at Sat Oct 16 08:57:13 EDT 2021

STATUS

proposed

reviewed

#36 by Kevin Ryde at Sat Oct 16 07:02:58 EDT 2021

STATUS

editing

proposed

#35 by Kevin Ryde at Sat Oct 16 05:08:46 EDT 2021

PROG

(PARI) my(P=Mod('x, 'x^3-'x^2-2)); a(n) = subst(lift(P^n), 'x, 2) >> 1; \\ Kevin Ryde, Oct 16 2021

STATUS

reviewed

editing