login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A264440 Row lengths of the irregular triangle A137510 (number of divisors d of n with 1 < d < n, or 0 if no such d exists). 2

%I #18 Jan 19 2019 21:05:40

%S 1,1,1,1,1,2,1,2,1,2,1,4,1,2,2,3,1,4,1,4,2,2,1,6,1,2,2,4,1,6,1,4,2,2,

%T 2,7,1,2,2,6,1,6,1,4,4,2,1,8,1,4,2,4,1,6,2,6,2,2,1,10,1,2,4,5,2,6,1,4,

%U 2,6,1,10,1,2,4,4,2,6,1,8

%N Row lengths of the irregular triangle A137510 (number of divisors d of n with 1 < d < n, or 0 if no such d exists).

%C See A032741 for the number of divisors d of n with 1 <= d < n, n >= 1.

%C See A070824 for the number of the divisors d of n with 1 < d < n, n >= 1.

%H Antti Karttunen, <a href="/A264440/b264440.txt">Table of n, a(n) for n = 1..10000</a>

%F a(1) = 1; a(n) = 1 if n is prime, otherwise a(n) = A070824(n).

%F a(1) = 1; a(n) = 1 if n is prime, otherwise a(n) = A032741(n) - 1.

%F a(n) = max(1, A000005(n)-2). - _Robert Israel_, Jan 20 2016

%p seq(max(1,numtheory:-tau(n)-2), n=1..100); # _Robert Israel_, Jan 20 2016

%t Array[DivisorSigma[0, #] - 2 &, {80}] /. n_ /; n < 2 -> 1 (* _Michael De Vlieger_, Jan 16 2016 *)

%o (PARI) A264440(n) = max(1,numdiv(n)-2); \\ After _Robert Israel_'s formula. - _Antti Karttunen_, May 25 2017

%Y Cf. A000005, A000040, A032741, A070824, A137510.

%K nonn,easy

%O 1,6

%A _Wolfdieter Lang_, Jan 16 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)