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A002574 Restricted partitions.
(Formerly M1070 N0404)
+0
7
0, 0, 1, 1, 2, 4, 7, 13, 24, 42, 76, 137, 245, 441, 792, 1420, 2550, 4576, 8209, 14732, 26433, 47424, 85092, 152670, 273914, 491453, 881744, 1581985, 2838333, 5092398, 9136528, 16392311, 29410243, 52766343, 94670652, 169853138 (list; graph; listen)
OFFSET

1,5

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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), pp. 223-224.

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; [ seq(v(3, n), n=1..50) ];

CROSSREFS

Cf. A002572, A002573, A049284, A049285, A047913.

Sequence in context: A018182 A005595 A096236 this_sequence A069765 A090427 A006745

Adjacent sequences: A002571 A002572 A002573 this_sequence A002575 A002576 A002577

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

More terms from Michael Somos

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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