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!)
A373664 Positive integers that cannot be written as a sum of a practical number and a 12-gonal number. 1

%I #7 Jun 13 2024 01:44:40

%S 10,11,15,22,23,26,27,38,46,47,50,58,59,62,71,74,77,83,86,95,98,103,

%T 110,114,115,119,122,131,134,139,143,146,149,155,166,167,170,175,178,

%U 179,182,187,191,194,202,203,206,207,215,227,230,238,239,242,248,250

%N Positive integers that cannot be written as a sum of a practical number and a 12-gonal number.

%C Somu and Tran (2024) proved that there are infinitely many such integers. More generally, infinitely many positive integers cannot be written as a sum of a practical number and an s-gonal number if s is a multiple of 12.

%H Duc Van Khanh Tran, <a href="/A373664/b373664.txt">Table of n, a(n) for n = 1..10000</a>

%H Sai Teja Somu and Duc Van Khanh Tran, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL27/Somu/somu5.html">On sums of practical numbers and polygonal numbers</a>, Journal of Integer Sequences, 27(5), 2024.

%Y Cf. A005153, A051624.

%K nonn

%O 1,1

%A _Duc Van Khanh Tran_, Jun 12 2024

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 August 11 22:08 EDT 2024. Contains 375076 sequences. (Running on oeis4.)