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Search: id:A085766
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| A085766 |
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Smallest m such that n divides the tetrahedral number A000292(m). |
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1
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| 1, 1, 6, 1, 2, 6, 4, 5, 24, 2, 8, 6, 10, 5, 7, 13, 14, 25, 16, 3, 6, 9, 20, 7, 22, 10, 78, 5, 26, 7, 28, 29, 8, 14, 4, 25, 34, 17, 24, 7, 38, 6, 40, 9, 24, 21, 44, 15, 46, 22, 15, 11, 50, 78, 8, 5, 16, 26, 56, 7, 58, 29, 25, 61, 12, 42, 64, 14, 43, 13, 68, 53, 70, 34, 24, 17, 19, 25, 76, 13
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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Let te(m)=(m+1)(m+2)(m+3)/6. Then te(1)=1, te(2)=4, te(3)=10, te(4)=20, te(5)=35 and te(6)=56. te(6) is the first tetrahedral number to be divisible by 3, hence a(3)=6.
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PROGRAM
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(PARI) te(n)=(n+1)*(n+2)*(n+3)/6 for (n=1, 50, c=1; while (te(c)%n!=0, c++); print1(c", "))
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CROSSREFS
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Cf. A011772 (triangular numbers), A019554 (squares).
Sequence in context: A090551 A070682 A112828 this_sequence A002329 A053453 A156792
Adjacent sequences: A085763 A085764 A085765 this_sequence A085767 A085768 A085769
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KEYWORD
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nonn
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AUTHOR
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Jon Perry (perry(AT)globalnet.co.uk), Jul 22 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 10 2005
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