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A080786 Triangle T(n,k) = number of k-smooth numbers <= n, read by rows. +0
1
1, 1, 2, 1, 2, 3, 1, 3, 4, 4, 1, 3, 4, 4, 5, 1, 3, 5, 5, 6, 6, 1, 3, 5, 5, 6, 6, 7, 1, 4, 6, 6, 7, 7, 8, 8, 1, 4, 7, 7, 8, 8, 9, 9, 9, 1, 4, 7, 7, 9, 9, 10, 10, 10, 10, 1, 4, 7, 7, 9, 9, 10, 10, 10, 10, 11, 1, 4, 8, 8, 10, 10, 11, 11, 11, 11, 12, 12, 1, 4, 8, 8, 10, 10, 11, 11, 11, 11, 12, 12, 13, 1, 4 (list; table; graph; listen)
OFFSET

1,3

COMMENT

T(n,n-1)=A014684(n) for n>1;

T(n,2)=A029837(n) for n>1; T(n,3)=A071521(n) for n>2; T(n,5)=A071521(n) for n>4.

LINKS

Eric Weisstein's World of Mathematics, Smooth Number.

EXAMPLE

Triangle begins:

.................. 1

................ 1...2

.............. 1...2...3

............ 1...3...4...4

.......... 1...3...4...4...5

........ 1...3...5...5...6...6

...... 1...3...5...5...6...6...7

.... 1...4...6...6...7...8...8...8

.. 1...4...7...7...8...8...9...9...9.

CROSSREFS

Cf. A000079, A003586, A051037, A002473, A051038, A080197, A080681, A080682, A080683.

Sequence in context: A116908 A072851 A103627 this_sequence A036838 A066010 A109974

Adjacent sequences: A080783 A080784 A080785 this_sequence A080787 A080788 A080789

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 12 2003

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.


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