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A062319
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Number of divisors of n^n, or of A000312.
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2
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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; internal format)
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OFFSET
| 0,3
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,1000
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FORMULA
| a(n)=A000005(A000312(n)) [From Enrique Perez Herrero (psychgeometry(AT)gmail.com), Nov 09 2010]
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MATHEMATICA
| A062319[n_IntegerQ]:=DivisorSigma[0, n^n]; [From Enrique Perez Herrero (psychgeometry(AT)gmail.com), Nov 09 2010]
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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)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 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.
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CROSSREFS
| Cf. A000312.
Cf. A000005, A046798, A077592, A035116 [From Enrique Perez Herrero (psychgeometry(AT)gmail.com), Nov 09 2010]
Sequence in context: A055225 A054791 A167531 * A178590 A022463 A106833
Adjacent sequences: A062316 A062317 A062318 * A062320 A062321 A062322
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KEYWORD
| easy,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Jul 05 2001
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