The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A360491 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A360491

Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [5n] into 5-element subsets {i, i+k, i+2k, i+3k, i+4k} with 1 <= k <= m.
(history; published version)

#13 by Alois P. Heinz at Mon Feb 13 16:15:57 EST 2023

STATUS

proposed

approved

#12 by Jon E. Schoenfield at Fri Feb 10 13:53:11 EST 2023

STATUS

editing

proposed

#11 by Jon E. Schoenfield at Fri Feb 10 13:53:08 EST 2023

NAME

Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [5n] into 5-element subsets {i, i+k, i+2k, i+3k, i+4k} with 1 <= k <= m.

EXAMPLE

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

1, 2, 2, 2, 2, 2, 2, 2, 2, ...

1, 3, 4, 4, 4, 4, 4, 4, 4, ...

1, 5, 7, 10, 10, 10, 10, 10, 10, ...

1, 8, 13, 19, 20, 21, 21, 21, 21, ...

1, 13, 24, 41, 43, 58, 59, 59, 59, ...

1, 21, 44, 84, 89, 120, 124, 125, 125, ...

1, 34, 81, 180, 192, 280, 289, 344, 349, ...

1, 55, 149, 372, 404, 626, 648, 759, 811, ...

1, 89, 274, 785, 860, 1454, 1510, 1877, 1996, ...

1, 144, 504, 1637, 1816, 3272, 3414, 4263, 4565, ...

...

STATUS

proposed

editing

#10 by Alois P. Heinz at Thu Feb 09 11:03:18 EST 2023

STATUS

editing

proposed

#9 by Alois P. Heinz at Thu Feb 09 11:03:09 EST 2023

FORMULA

A(n,m) = A104431(n) = A104443(n,5) for m >= floor((5n - 1) / 4).

STATUS

proposed

editing

#8 by Peter Dolland at Thu Feb 09 11:02:32 EST 2023

STATUS

editing

proposed

#7 by Peter Dolland at Thu Feb 09 11:02:24 EST 2023

DATA

1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 4, 5, 1, 1, 2, 4, 7, 8, 1, 1, 2, 4, 10, 13, 13, 1, 1, 2, 4, 10, 19, 24, 21, 1, 1, 2, 4, 10, 20, 41, 44, 34, 1, 1, 2, 4, 10, 21, 43, 84, 81, 55, 1, 1, 2, 4, 10, 21, 58, 89, 180, 149, 89, 1, 1, 2, 4, 10, 21, 59, 120, 192, 372, 274, 144, 1

STATUS

proposed

editing

#6 by Peter Dolland at Thu Feb 09 10:57:37 EST 2023

STATUS

editing

proposed

#5 by Peter Dolland at Thu Feb 09 10:57:32 EST 2023

KEYWORD

nonn,changed,tabl

STATUS

proposed

editing

#4 by Peter Dolland at Thu Feb 09 10:52:22 EST 2023

STATUS

editing

proposed

Discussion

Thu Feb 09

10:53

Michel Marcus: needs keyword tabl

10:54

Michel Marcus: please add 4 more terms to data section, so that last antidiagonal is complete