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Search: id:A061202
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A061202 (tau<=)_4(n). +0
7
1, 5, 9, 19, 23, 39, 43, 63, 73, 89, 93, 133, 137, 153, 169, 204, 208, 248, 252, 292, 308, 324, 328, 408, 418, 434, 454, 494, 498, 562, 566, 622, 638, 654, 670, 770, 774, 790, 806, 886, 890, 954, 958, 998, 1038, 1054, 1058, 1198, 1208, 1248, 1264, 1304, 1308 (list; graph; listen)
OFFSET

1,2

COMMENT

(tau<=)_k(n) = |{(x_1,x_2,...,x_k): x_1*x_2*...*x_k<=n}|, i.e. (tau<=)_k(n) is number of solutions to x_1*x_2*...*x_k<=n, x_i>0.

Equals row sums of triangle A140703. - Gary W. Adamson (qntmpkt(AT)yahoo.com), May 24 2008

FORMULA

(tau<=)_k(n)=Sum_{i=1..n} tau_k(i). a(n)=partial sums of A007426.

CROSSREFS

Cf. tau_2(n): A000005, tau_3(n): A007425, tau_4(n): A007426, tau_5(n): A061200, tau_6(n): A034695, (unordered) 2-factorizations of n: A038548, (unordered) 3-factorizations of n: A034836, A001055, (tau<=)_2(n): A006218, (tau<=)_3(n): A061201, (tau<=)_5(n): A061203, (tau<=)_6(n): A061204.

Equals left column of triangle A140705.

Cf. A140703.

Sequence in context: A023521 A113805 A160722 this_sequence A060161 A082674 A102172

Adjacent sequences: A061199 A061200 A061201 this_sequence A061203 A061204 A061205

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 21 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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