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A051378
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Sum of (1+e)-divisors of n: if x = Product p(i)^r(i) then (1+e)-sigma(x) = Product (Sum p(i)^s(i), s(i) = 0 or s(i) divides r(i)).
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5
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1, 3, 4, 7, 6, 12, 8, 11, 13, 18, 12, 28, 14, 24, 24, 23, 18, 39, 20, 42, 32, 36, 24, 44, 31, 42, 31, 56, 30, 72, 32, 35, 48, 54, 48, 91, 38, 60, 56, 66, 42, 96, 44, 84, 78, 72, 48, 92, 57, 93, 72, 98, 54, 93, 72, 88, 80, 90, 60, 168, 62, 96, 104, 79, 84, 144, 68, 126, 96
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| Multiplicative with a(p^e) = 1+Sum_{d|e} p^d. - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 23 2002
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PROG
| (PARI) a(n)=my(f=factor(n)); prod(i=1, #f[, 1], sumdiv(f[i, 2], d, f[i, 1]^d)+1) \\ Charles R Greathouse IV, Nov 22 2011
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CROSSREFS
| Cf. A051377, A049599.
Sequence in context: A073185 A073183 A049418 * A116607 A107749 A093811
Adjacent sequences: A051375 A051376 A051377 * A051379 A051380 A051381
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KEYWORD
| nonn,easy,nice,mult
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AUTHOR
| Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)
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EXTENSIONS
| Corrected and extended by Naohiro Nomoto (6284968128(AT)geocities.co.jp), Apr 12 2001
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