id:A062367 - OEIS Search Results

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Multiplicative with a(p^e) = (e+1)*(e+2)*(2*e+3)/6.

+0
3

1, 5, 5, 14, 5, 25, 5, 30, 14, 25, 5, 70, 5, 25, 25, 55, 5, 70, 5, 70, 25, 25, 5, 150, 14, 25, 30, 70, 5, 125, 5, 91, 25, 25, 25, 196, 5, 25, 25, 150, 5, 125, 5, 70, 70, 25, 5, 275, 14, 70, 25, 70, 5, 150, 25, 150, 25, 25, 5, 350, 5, 25, 70, 140, 25, 125, 5, 70, 25, 125, 5 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`Also a(n) = Sum_{i\|n, j\|n} tau(gcd(i, j)) = Sum_{d\|n} tau(d)^2.` `a(n) = Sum_{i\|n, j\|n} tau(i)*tau(j)/tau(LCM(i, j)), where tau(n) = number of divisors of n, cf. A000005.`
	CROSSREFS	`Cf. A000330, A060648, A035116, A029939, A062368.` `Sequence in context: A094904 A126439 A076903 this_sequence A061200 A050350 A147266` `Adjacent sequences: A062364 A062365 A062366 this_sequence A062368 A062369 A062370`
	KEYWORD	`nonn,mult`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 07 2001`

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

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