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A049286 Triangle of partitions v(d,c) defined in A002572. +0
2
1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 4, 2, 1, 1, 9, 7, 4, 2, 1, 1, 16, 12, 7, 4, 2, 1, 1, 28, 22, 13, 7, 4, 2, 1, 1, 50, 39, 24, 13, 7, 4, 2, 1, 1, 89, 70, 42, 24, 13, 7, 4, 2, 1, 1, 159, 126, 76, 43, 24, 13, 7, 4, 2, 1, 1, 285, 225, 137, 78, 43, 24, 13, 7, 4, 2, 1, 1, 510 (list; table; graph; listen)
OFFSET

1,4

REFERENCES

Even, Shimon; Lempel, Abraham; Generation and enumeration of all solutions of the characteristic sum condition. Information and Control 21 (1972), 476-482.

Minc, H.; A problem in partitions: Enumeration of elements of a given degree in the free commutative entropic cyclic groupoid. Proc. Edinburgh Math. Soc. (2) 11 1958/1959 223-224.

EXAMPLE

1; 1,1; 2,1,1; 3,2,1,1; 5,4,2,1,1; 9,7,4,2,1,1; ...

MAPLE

v := proc(c, d) option remember; local i; if d < 0 or c < 0 then 0 elif d = c then 1 else add(v(i, d-c), i=1..2*c); fi; end;

CROSSREFS

Cf. A002572, A002573, A002574, A049284, A049285. See A047913 for another version.

Sequence in context: A104762 A152462 A098805 this_sequence A079216 A112380 A165162

Adjacent sequences: A049283 A049284 A049285 this_sequence A049287 A049288 A049289

KEYWORD

nonn,tabl,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Michael Somos

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Last modified December 3 22:15 EST 2009. Contains 170310 sequences.


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