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A062319 Number of divisors of n^n, or of A000312(n). 5
1, 1, 3, 4, 9, 6, 49, 8, 25, 19, 121, 12, 325, 14, 225, 256, 65, 18, 703, 20, 861, 484, 529, 24, 1825, 51, 729, 82, 1653, 30, 29791, 32, 161, 1156, 1225, 1296, 5329, 38, 1521, 1600, 4961, 42, 79507, 44, 4005, 4186, 2209, 48, 9457, 99, 5151, 2704, 5565, 54 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A000005(A000312(n)). [Enrique Pérez Herrero, Nov 09 2010]

MATHEMATICA

A062319[n_IntegerQ]:=DivisorSigma[0, n^n]; (* Enrique Pérez Herrero, Nov 09 2010 *)

PROG

(PARI) je=[]; for(n=0, 200, je=concat(je, numdiv(n^n))); je

(PARI) { for (n=0, 1000, write("b062319.txt", n, " ", numdiv(n^n)); ) } \\ Harry J. Smith, Aug 04 2009

(PARI) a(n)=local(fm); fm=factor(n); prod(k=1, matsize(fm)[1], fm[k, 2]*n+1) \\ Franklin T. Adams-Watters, May 03 2011

(MAGMA) [NumberOfDivisors(n^n): n in  [0..60]]; // Vincenzo Librandi, Nov 09 2014

CROSSREFS

Cf. A000312.

Cf. A000005, A046798, A077592, A035116. [Enrique Pérez Herrero, Nov 09 2010]

Sequence in context: A055225 A054791 A167531 * A285265 A330385 A178590

Adjacent sequences:  A062316 A062317 A062318 * A062320 A062321 A062322

KEYWORD

easy,nonn

AUTHOR

Jason Earls, Jul 05 2001

STATUS

approved

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Last modified December 13 03:41 EST 2019. Contains 329968 sequences. (Running on oeis4.)