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A007042 Diagonal of partition triangle A047812.
(Formerly M2451)
+0
5
0, 1, 3, 5, 9, 13, 20, 28, 40, 54, 75, 99, 133, 174, 229, 295, 383, 488, 625, 790, 1000, 1253, 1573, 1956, 2434, 3008, 3716, 4563, 5602, 6840, 8347, 10141, 12308, 14881, 17975, 21635, 26013, 31183, 37336, 44581, 53172, 63259, 75173, 89132, 105556 (list; graph; listen)
OFFSET

1,3

COMMENT

For n>2: Also number of partitions of n into parts <= n-2: a(n)=A026820(n+1,n-1). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 21 2010]

REFERENCES

R. K. Guy, Parker's permutation problem involves the Catalan numbers, Amer. Math. Monthly 100 (1993), 287-289.

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

FORMULA

a(n) = A000041(n+1)-2, i.e. a(n) = -2 + number of partitions of n+1. - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 06 2001

CROSSREFS

Sequence in context: A108754 A033499 A106607 this_sequence A076274 A058989 A049691

Adjacent sequences: A007039 A007040 A007041 this_sequence A007043 A007044 A007045

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu)

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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