The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A161532 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A161532

a(n) = 2*n^2 + 8*n + 1.
(history; published version)

#45 by Michael De Vlieger at Sun Oct 27 14:29:44 EDT 2024

STATUS

reviewed

approved

#44 by Andrew Howroyd at Sun Oct 27 14:15:20 EDT 2024

STATUS

proposed

reviewed

Discussion

Sun Oct 27

14:19

Andrew Howroyd: When I follow a link or search on a number I hope to find stuff that is related in some way, not merely an identity like 2*n^2 + 8*n + 1 = (2*n^2 + 4*n + 7) + (4*n  - 6) or whatever.  Badly placed xrefs are noise that make using oeis more difficult - every search takes longer to weed out stuff that is not wanted.

14:20

Andrew Howroyd: ** search on a sequence number **

#43 by Andrew Howroyd at Sun Oct 27 14:15:17 EDT 2024

STATUS

editing

proposed

#42 by Andrew Howroyd at Sun Oct 27 14:15:13 EDT 2024

CROSSREFS

Cf. A016993, A100041, A161549, A161587, A161617, A161935, A162316.

STATUS

proposed

editing

#41 by Elmo R. Oliveira at Sun Oct 27 14:07:56 EDT 2024

STATUS

editing

proposed

#40 by Andrew Howroyd at Sun Oct 27 14:02:47 EDT 2024

FORMULA

a(n) = A100041(n) + A016993(n+1).

STATUS

reviewed

editing

Discussion

Sun Oct 27

14:07

Elmo R. Oliveira: Ok, understood. thank you!

#39 by Stefano Spezia at Sun Oct 27 12:57:28 EDT 2024

STATUS

proposed

reviewed

Discussion

Sun Oct 27

14:02

Andrew Howroyd: What's the connection to A100041  and A016993. If this is just a mathematical coincidence than I don't see any merit - it's just connecting sequences that are not really related - given the number of number polynomials in oeis thousands of such formulas could be added (but shouldn't - unless there is some more significant relation).

#38 by Elmo R. Oliveira at Sun Oct 27 10:55:48 EDT 2024

STATUS

editing

proposed

#37 by Elmo R. Oliveira at Sun Oct 27 10:54:32 EDT 2024

NAME

a(n) = 2n2*n^2 + 8n 8*n + 1.

DATA

1, 11, 25, 43, 65, 91, 121, 155, 193, 235, 281, 331, 385, 443, 505, 571, 641, 715, 793, 875, 961, 1051, 1145, 1243, 1345, 1451, 1561, 1675, 1793, 1915, 2041, 2171, 2305, 2443, 2585, 2731, 2881, 3035, 3193, 3355, 3521, 3691, 3865, 4043, 4225, 4411, 4601, 4795, 4993

LINKS

Pierre Gayet, <a href="/A162316/a162316.gif">Note et Compte rendu</a> (gif version).

Pierre Gayet, <a href="/A162316/a162316.pdf">Note et Compte Rendu</a> (pdf version).

Pierre Gayet, <a href="/A162316/a162316_1.txt">98 séquences générées ... par la formule générale indiquée</a>.

Claude Monet, <a href="https://web.archive.org/web/20060428022333/http://lycees.ac-rouen.fr/bruyeres/jardin/Nymphea.html">Nymphéas</a>.

FORMULA

From Elmo R. Oliveira, Oct 27 2024: (Start)

E.g.f.: (1 + 10*x + 2*x^2)*exp(x).

a(n) = A100041(n) + A016993(n+1).

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2. (End)

CROSSREFS

Cf. A016993, A100041, A161549, A161587, A161617, A161935, A162316.

STATUS

approved

editing

#36 by Charles R Greathouse IV at Thu Sep 08 08:45:45 EDT 2022

PROG

(MAGMAMagma) [ 2*n^2+8*n+1: n in [0..50] ];

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944