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Revision History for A145515

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A145515

Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) is the number of partitions of k^n into powers of k.
(history; published version)

#30 by Alois P. Heinz at Tue Mar 19 12:47:42 EDT 2019

LINKS

Valentin P. Bakoev, <a href="https://www.researchgate.net/publication/222349380_Algorithmic_approach_to_counting_of_certain_types_m-ary_partitions">Algorithmic approach to counting of certain types m-ary partitions</a>. Article describes polynomial by n algorithm to count k-ary partitions of k^n.

KEYWORD

nonn,tabl,changed

STATUS

editing

approved

#29 by Alois P. Heinz at Tue Mar 19 12:47:37 EDT 2019

STATUS

proposed

editing

#28 by Serguei Zolotov at Tue Mar 19 11:07:01 EDT 2019

STATUS

editing

proposed

Discussion

Tue Mar 19

12:18

Michel Marcus: why not use this link : https://doi.org/10.1016/S0012-365X(03)00096-7 ?

12:47

Alois P. Heinz: This algorithm was not used for this sequence.  If you used this algorithm, please add the link to your own (latest) seuence.

#27 by Serguei Zolotov at Tue Mar 19 11:06:15 EDT 2019

LINKS

STATUS

approved

editing

Discussion

Tue Mar 19

11:07

Serguei Zolotov: Added link to the article.

#26 by Alois P. Heinz at Thu Oct 04 20:09:18 EDT 2018

STATUS

editing

approved

#25 by Alois P. Heinz at Thu Oct 04 20:08:58 EDT 2018

EXAMPLE

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

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

1, 1, 4, 5, 6, 7, ...

1, 1, 10, 23, 46, 82, ...

1, 1, 36, 239, 1086, 3707, ...

1, 1, 202, 5828, 79326, 642457, ...

STATUS

approved

editing

#24 by Alois P. Heinz at Thu Dec 14 15:47:54 EST 2017

STATUS

editing

approved

#23 by Alois P. Heinz at Fri Nov 17 05:05:22 EST 2017

CROSSREFS

Columns k=0+1, 2-10 give: A000012, A002577, A078125, A078537, A111822, A111827, A111832, A111837, A145512, A145513. Diagonal gives: A145514. Row 3 gives: A189890(k+1). Cf. A007318.

Row n=3 gives: A189890(k+1).

Main diagonal gives: A145514.

Cf. A007318.

STATUS

approved

editing

Discussion

Fri Dec 08

21:12

OEIS Server: This sequence has not been edited or commented on for a week
yet is not proposed for review.  If it is ready for review, please
visit https://oeis.org/draft/A145515 and click the button that reads
"These changes are ready for review by an OEIS Editor."

Thanks.
  - The OEIS Server

#22 by Alois P. Heinz at Sun Oct 19 09:49:18 EDT 2014

STATUS

editing

approved

#21 by Alois P. Heinz at Sun Oct 19 09:49:06 EDT 2014

MAPLE

elif n>=j then (nn-j) *binomial(nn, j) *add (binomial(j, h)

seq (seq (A(n, d-n), n=0..d), d=0..13);

STATUS

approved

editing