The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A360436

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A360436

32-gonal numbers: a(n) = n*(15*n-14).
(history; published version)

#24 by Andrey Zabolotskiy at Thu Feb 09 18:30:34 EST 2023

STATUS

proposed

approved

#23 by Kevin Ryde at Thu Feb 09 17:34:30 EST 2023

STATUS

editing

proposed

#22 by Kevin Ryde at Thu Feb 09 17:34:18 EST 2023

LINKS

<a href="/index/Pol#polygonal_numbers">Index to sequences related to polygonal numbers</a>

STATUS

approved

editing

#21 by Alois P. Heinz at Thu Feb 09 08:37:01 EST 2023

STATUS

proposed

approved

#20 by Alois P. Heinz at Wed Feb 08 11:10:25 EST 2023

STATUS

editing

proposed

Discussion

Wed Feb 08

11:10

Alois P. Heinz: default size of data section ...

11:25

Nikolaos Pantelidis: I do not contribute new seq that often, but I will remember that the size of data section is 40 terms for a new one. Thanks for this, Alois.

16:46

Alois P. Heinz: it is not 40 terms ... it is <=260 chars, please see: https://oeis.org/wiki/Style_Sheet#Data

#19 by Alois P. Heinz at Wed Feb 08 11:10:12 EST 2023

DATA

0, 1, 32, 93, 184, 305, 456, 637, 848, 1089, 1360, 1661, 1992, 2353, 2744, 3165, 3616, 4097, 4608, 5149, 5720, 6321, 6952, 7613, 8304, 9025, 9776, 10557, 11368, 12209, 13080, 13981, 14912, 15873, 16864, 17885, 18936, 20017, 21128, 22269, 23440, 24641, 25872

STATUS

proposed

editing

#18 by Kevin Ryde at Tue Feb 07 20:40:31 EST 2023

STATUS

editing

proposed

Discussion

Tue Feb 07

20:45

Nikolaos Pantelidis: I see..Thank you, Kevin.

#17 by Kevin Ryde at Tue Feb 07 20:37:27 EST 2023

FORMULA

E.g.f.: exp(x)*(x + 15*x^2).

Discussion

Tue Feb 07

20:40

Kevin Ryde: gf examples normally don't add much (those who know what they are don't much need the data re-presented).  Just one mathematica for something this easy (of whatever form it might best treat, symbolically, etc).

#16 by Kevin Ryde at Tue Feb 07 20:36:48 EST 2023

EXAMPLE

G.f. = x + 32*x^2 + 93*x^3 + 184*x^4 + 305*x^5 + 456*x^6 + 637*x^7 + ...

MATHEMATICA

Table[ j! Coefficient[Series[Exp[x]*(x + 15 x^2), {x, 0, 30}], x, j], {j, 0, 30}]

STATUS

proposed

editing

#15 by Nikolaos Pantelidis at Tue Feb 07 14:17:18 EST 2023

STATUS

editing

proposed