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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 05:14 EST 2019. Contains 329839 sequences. (Running on oeis4.)