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A002311
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n-th tetrahedral number is the sum of 2 tetrahedral numbers.
(Formerly M3498 N1419)
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6
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4, 15, 55, 58, 74, 109, 110, 119, 140, 175, 245, 294, 418, 435, 452, 474, 492, 528, 535, 550, 562, 588, 644, 688, 702, 714, 740, 747, 753, 818, 868, 908, 918, 1098, 1158, 1220, 1241, 1428, 1434, 1444, 1450, 1645, 1708, 1738, 1786, 1868, 2170, 2183, 2220, 2256
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Indices of A034404. [From Harvey P. Dale, Jul 25 2011]
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REFERENCES
| Aviezri S. Fraenkel, Diophantine equations involving generalized triangular and tetrahedral numbers, pp. 99-114 of A. O. L. Atkin and B. J. Birch, editors, Computers in Number Theory. Academic Press, NY, 1971.
H. Finner and K. Strassburger, Increasing sample sizes do not necessarily increase the power of UMPU-tests for 2 X 2-tables. Metrika, 54, 77-91, (2001).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..463
M. Wunderlich, Certain properties of pyramidal and figurate numbers, Math. Comp., 16 (1962), 482-486.
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MATHEMATICA
| With[{tetras=Binomial[Range[1100]+2, 3]}, Flatten[Position[tetras, #]&/@ Union[Select[Total/@Tuples[tetras, 2], MemberQ[tetras, #]&]]]](* From Harvey P. Dale, Jul 26 2011 *)
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CROSSREFS
| Cf. A000292, A034404.
Sequence in context: A094821 A071723 A001559 * A102349 A126932 A094833
Adjacent sequences: A002308 A002309 A002310 * A002312 A002313 A002314
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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