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A061204 (tau<=)_6(n). 6
1, 7, 13, 34, 40, 76, 82, 138, 159, 195, 201, 327, 333, 369, 405, 531, 537, 663, 669, 795, 831, 867, 873, 1209, 1230, 1266, 1322, 1448, 1454, 1670, 1676, 1928, 1964, 2000, 2036, 2477, 2483, 2519, 2555, 2891, 2897, 3113, 3119, 3245, 3371, 3407, 3413 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

(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.

FORMULA

(tau<=)_k(n)=Sum_{i=1..n} tau_k(i). a(n)=partial sums of A034695.

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<=)_4(n): A061202, (tau<=)_5(n): A061203.

Sequence in context: A195353 A053183 A026318 * A060983 A001001 A067692

Adjacent sequences:  A061201 A061202 A061203 * A061205 A061206 A061207

KEYWORD

easy,nonn

AUTHOR

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

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.