id:A152146 - OEIS Search Results

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Triangle read by rows: T(n,k) (n>=0, 0<=k<=n) = number of partitions of 2n+1 into 2k+1 odd parts.

+0
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; listen)

	OFFSET	`0,8`
	COMMENT	`In both this and A152157, reading columns downwards "converges" to A000041.`
	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. A107379, A152140, A152157.` `Sequence in context: A101979 A060582 A060450 this_sequence A025860 A152487 A058394` `Adjacent sequences: A152143 A152144 A152145 this_sequence A152147 A152148 A152149`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Richard Mathar (mathar(AT)strw.leidenuniv.nl), Sep 25 2009`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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