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A187446 Number of parts of the multiset repetition class defining partition (n,k) in Abramowitz-Stegun order. 1
0, 1, 2, 2, 3, 3, 4, 4, 5, 3, 4, 5, 6, 4, 5, 6, 7, 5, 6, 7, 8, 5, 6, 6, 7, 8, 9, 4, 6, 7, 7, 8, 9, 10, 5, 7, 8, 8, 9, 10, 11, 6, 6, 7, 8, 8, 9, 9, 10, 11, 12, 6, 7, 7, 8, 9, 9, 10, 10, 11, 12, 13, 7, 8, 8, 9, 10, 10, 11, 11, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

For the Abramowitz-Stegun (A-St) order of partitions see A036036.

For the first 87 multiset defining partitions in A-St order see a link under A176725.

This sequence is an irregular array with row length sequence A007294(n).

LINKS

Table of n, a(n) for n=0..70.

FORMULA

Sum(en[j],j=1..M(n)]), with the n-th multiset defining partition in A-St order written as (1^en[1],2^en[2],...,M^en[M]), with M=M(n) its largest part, and positive, nonincreasing exponents en[1]>=en[2]>=...>=en[M]>=1. a(0)=0 from the empty partition defining the empty multiset.

EXAMPLE

Read as array:

0;

1;

2;

2,3;

3,4;

4,5;

3,4,5,6;

4,5,6,7;

5,6,7,8;

5,6,6,7,8,9;

4, 6, 7, 7, 8, 9, 10;

...,

linking (for row number n>=0) to the number of parts of the corresponding partitions of n.

CROSSREFS

Cf. A176725, A187447.

Sequence in context: A080251 A220032 A219773 * A240020 A336430 A167232

Adjacent sequences:  A187443 A187444 A187445 * A187447 A187448 A187449

KEYWORD

nonn,easy,tabf

AUTHOR

Wolfdieter Lang, Mar 14 2011

STATUS

approved

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Last modified January 17 23:51 EST 2022. Contains 350410 sequences. (Running on oeis4.)