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A056556 First tetrahedral co-ordinate; repeat m (m+1)*(m+2)/2 times. +0
12
0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 (list; graph; listen)
OFFSET

0,5

COMMENT

If {(X,Y,Z)} are triples of nonnegative integers with X>=Y>=Z ordered by X, Y, and Z, then X=A056556(n), Y=A056557(n) and Z=A056558(n)

FORMULA

a(n)=floor[x] where x is the (largest real) solution to x^3+3x^2+2x-6n=0; a(A000292(n))=n+1

a(n+1) = a(n)==A056558(n) ? a(n)+1 : a(n) - Graeme McRae (g_m(AT)mcraefamily.com), Jan 09 2007

CROSSREFS

Cf. A000292, A003056, A056557, A056558, A056559, A056560.

Sequence in context: A123119 A099396 A126235 this_sequence A111651 A111854 A132085

Adjacent sequences: A056553 A056554 A056555 this_sequence A056557 A056558 A056559

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jun 26 2000

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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