The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A195040 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A195040

Square array read by antidiagonals with T(n,k) = k*n^2/4+(k-4)*((-1)^n-1)/8, n>=0, k>=0.
(history; published version)

#40 by Michael De Vlieger at Mon Oct 30 14:36:58 EDT 2023

STATUS

reviewed

approved

#39 by Michel Marcus at Mon Oct 30 14:01:18 EDT 2023

STATUS

proposed

reviewed

#38 by Omar E. Pol at Mon Oct 30 11:54:17 EDT 2023

STATUS

editing

proposed

#37 by Omar E. Pol at Mon Oct 30 11:54:14 EDT 2023

COMMENTS

Also, if k >= 2 and m = 2*k, then column k lists the numbers of the form k*n^2 and the centered m-gonal numbers interleaved. Note that, if k >= 3, this is also a table of concentric polygonal numbers since column k lists the concentric k-gonal numbers.

For k >= 3, this is also a table of concentric polygonal numbers. Column k lists the concentric k-gonal numbers.

STATUS

reviewed

editing

#36 by Michel Marcus at Mon Oct 30 11:53:12 EDT 2023

STATUS

proposed

reviewed

#35 by Omar E. Pol at Mon Oct 30 11:48:25 EDT 2023

STATUS

editing

proposed

#34 by Omar E. Pol at Mon Oct 30 11:47:52 EDT 2023

CROSSREFS

Rows n: A000004 (n=0), A000012 (n=1), A001477 (n=2), A005408 (n=3), A008586 (n=4), A016921 (n=5), A008591 (n=6), A017533 (n=7), A008598 (n=8), A215145 (n=9), A008607 (n=10).

Discussion

Mon Oct 30

11:48

Omar E. Pol: Added two cross-references. Minor edits.

#33 by Omar E. Pol at Mon Oct 30 11:43:49 EDT 2023

CROSSREFS

Rows n: A000004, (n=0), A000012, (n=1), A001477, (n=2), A005408, (n=3), A008586, (n=4), A016921, (n=5), A008591, (n=6), A017533, (n=7), A008598 (n=8).

#32 by Omar E. Pol at Mon Oct 30 11:37:39 EDT 2023

EXAMPLE

. 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...

. 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...

. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ...

. 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, ...

. 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, ...

. 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, ...

. 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, ...

. 1, 13, 25, 37, 49, 61, 73, 85, 97, 109, ...

. 0, 16, 32, 48, 64, 80, 96, 112, 128, 144, ...

. 1, 21, 41, 61, 81, 101, 121, 141, 161, 181, ...

. 0, 25, 50, 75, 100, 125, 150, 175, 200, 225, ...

...

CROSSREFS

Columns k: A000035, (k=0), A004652, (k=1), A000982, (k=2), A077043, (k=3), A000290, (k=4), A032527, (k=5), A032528, (k=6), A195041, (k=7), A077221, (k=8), A195042, (k=9), A195142, (k=10), A195043, (k=11), A195143, (k=12), A195045, (k=13), A195145, (k=14), A195046, (k=15), A195146, (k=16), A195047, (k=17), A195147, (k=18), A195048, (k=19), A195148, (k=20), A195049, (k=21), A195149, (k=22), A195058, (k=23), A195158 (k=24).

STATUS

approved

editing

#31 by Alois P. Heinz at Thu Jul 19 14:54:26 EDT 2018

STATUS

proposed

approved