A016002 -id:A016002 - cp's OEIS frontend

A016008 a(n) = (tau(n^12)+11)/12.

1, 2, 2, 3, 2, 15, 2, 4, 3, 15, 2, 28, 2, 15, 15, 5, 2, 28, 2, 28, 15, 15, 2, 41, 3, 15, 4, 28, 2, 184, 2, 6, 15, 15, 15, 53, 2, 15, 15, 41, 2, 184, 2, 28, 28, 15, 2, 54, 3, 28, 15, 28, 2, 41, 15, 41, 15, 15, 2, 353, 2, 15, 28, 7, 15, 184, 2, 28, 15, 184, 2, 78, 2, 15

Offset: 1

Robert G. Wilson v

nonn

Antti Karttunen, Table of n, a(n) for n = 1..10000

Cf. A000005, A015996, A015999, A016001, A016002, A016003, A016005, A016006, A016007, A016009, A016012.

a[n_] := (DivisorSigma[0, n^12] + 11)/12; Array[a, 100] (* Amiram Eldar, Jan 27 2025 *)

A016008(n) = (numdiv(n^12)+11)/12;
for(n=1, 10000, write("b016008.txt", n, " ", A016008(n)));
\\ Antti Karttunen, Jan 17 2017

Definition corrected by Vladeta Jovovic, Sep 03 2005

A015995 a(n) = (tau(n^3)+2)/3.

Original entry on oeis.org

1, 2, 2, 3, 2, 6, 2, 4, 3, 6, 2, 10, 2, 6, 6, 5, 2, 10, 2, 10, 6, 6, 2, 14, 3, 6, 4, 10, 2, 22, 2, 6, 6, 6, 6, 17, 2, 6, 6, 14, 2, 22, 2, 10, 10, 6, 2, 18, 3, 10, 6, 10, 2, 14, 6, 14, 6, 6, 2, 38, 2, 6, 10, 7, 6, 22, 2, 10, 6, 22, 2, 24, 2, 6, 10, 10, 6, 22, 2, 18, 5, 6, 2, 38, 6, 6

Offset: 1

Robert G. Wilson v

nonn

Antti Karttunen, Table of n, a(n) for n = 1..10000

Cf. A004194, A018892, A015996, A015999, A016001, A016002, A016003, A016005-A016009, A016012, A016017, A016018, A016020, A016025, A048785.

Table[(DivisorSigma[0,n^3]+2)/3,{n,90}] (* Harvey P. Dale, Apr 30 2018 *)

a(n)=(numdiv(n^3)+2)/3 \\ Charles R Greathouse IV, May 01 2013

a(n)=my(f=factor(n)[,2]);prod(i=1,#f,3*f[i]+1)\3+1 \\ Charles R Greathouse IV, May 01 2013

a(n) = (2+A048785(n))/3. - R. J. Mathar, May 07 2021

Definition corrected by Vladeta Jovovic, Sep 03 2005

A016018 Least k such that (tau(k^3)+2)/3=n.

Original entry on oeis.org

1, 2, 4, 8, 16, 6, 64, 128, 256, 12, 1024, 2048, 4096, 24, 16384, 32768, 36, 48, 262144, 524288, 1048576, 30, 4194304, 72, 16777216, 192, 67108864, 134217728, 268435456, 384, 144, 2147483648, 4294967296, 216, 17179869184, 34359738368, 68719476736

Offset: 0

Robert G. Wilson v

nonn

Cf. A015995, A015996, A015999, A016001, A016002, A016003, A016005, A016006, A016007, A016008, A016009, A016012, A016017, A016020 & A016025

More terms from Robert G. Wilson v, Aug 06 2005
Definition corrected by Vladeta Jovovic, Sep 03 2005
Extended by Ray Chandler, Sep 05 2008

cp's OEIS Frontend

A016008 a(n) = (tau(n^12)+11)/12.

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A015995 a(n) = (tau(n^3)+2)/3.

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A016018 Least k such that (tau(k^3)+2)/3=n.

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