

A152146


Triangle read by rows: T(n,k) (n>=0, 0<=k<=n) = number of partitions of 2n into 2k odd parts.


3



1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 2, 1, 1, 0, 3, 5, 3, 2, 1, 1, 0, 4, 6, 5, 3, 2, 1, 1, 0, 4, 9, 7, 5, 3, 2, 1, 1, 0, 5, 11, 11, 7, 5, 3, 2, 1, 1, 0, 5, 15, 14, 11, 7, 5, 3, 2, 1, 1, 0, 6, 18, 20, 15, 11, 7, 5, 3, 2, 1, 1, 0, 6, 23, 26, 22, 15, 11, 7, 5, 3, 2, 1, 1, 0, 7
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OFFSET

0,8


COMMENTS

In both this and A152157, reading columns downwards "converges" to A000041.


LINKS

Table of n, a(n) for n=0..92.


FORMULA

T(n,k) = A152140(2n,2k).


EXAMPLE

Triangle begins:
1
0 1
0 1 1
0 2 1 1
0 2 2 1 1
0 3 3 2 1 1
0 3 5 3 2 1 1
0 4 6 5 3 2 1 1
0 4 9 7 5 3 2 1 1
0 5 11 11 7 5 3 2 1 1
0 5 15 14 11 7 5 3 2 1 1
0 6 18 20 15 11 7 5 3 2 1 1
0 6 23 26 22 15 11 7 5 3 2 1 1
0 7 27 35 29 22 15 11 7 5 3 2 1 1
0 7 34 44 40 30 22 15 11 7 5 3 2 1 1
0 8 39 58 52 42 30 22 15 11 7 5 3 2 1 1
0 8 47 71 70 55 42 30 22 15 11 7 5 3 2 1 1
0 9 54 90 89 75 56 42 30 22 15 11 7 5 3 2 1 1
0 9 64 110 116 97 77 56 42 30 22 15 11 7 5 3 2 1 1
0 10 72 136 146 128 100 77 56 42 30 22 15 11 7 5 3 2 1 1


CROSSREFS

Cf. A035294 (row sums), A107379, A152140, A152157.
Sequence in context: A060582 A060450 A180918 * A025860 A322285 A152487
Adjacent sequences: A152143 A152144 A152145 * A152147 A152148 A152149


KEYWORD

nonn,tabl


AUTHOR

R. J. Mathar, Sep 25 2009, indices corrected Jul 09 2012


STATUS

approved



