The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A101756 Number of divisors of highly composite triangular numbers. 4

%I #10 Feb 03 2013 02:55:13

%S 1,2,4,6,9,16,18,20,24,36,40,48,90,112,128,144,162,168,192,240,320,

%T 480,576,648,768,1024,1280,1344,1512,1536,1728,1920,2304,2880,3072,

%U 3200,3456,3888,4480,5760,6144,6912,7680,8640,9216,13824,16128,23040,25088

%N Number of divisors of highly composite triangular numbers.

%H Charles R Greathouse IV and Donovan Johnson, <a href="/A101756/b101756.txt">Table of n, a(n) for n = 1..70</a> (first 55 terms from _Charles R Greathouse IV_).

%F a(n) = A000005(A076711(n)) = A000005(A000217(A101755(n))).

%o (PARI) t1=1;r=0;for(n=1,2e9,t2=n+1;t2=numdiv(t2/if(n%2,2,1));if(t1*t2>r,r=t1*t2;print1(r", "));t1=t2) \\ _Charles R Greathouse IV_, Feb 01 2013

%Y Cf. A076711, A101755.

%K nonn

%O 1,2

%A _Ray Chandler_, Dec 22 2004

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 May 29 10:54 EDT 2024. Contains 372938 sequences. (Running on oeis4.)