login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A305670
Numbers k not ending in zero that are a substring of k*(k+1).
3
9, 99, 146, 999, 3701, 8881, 9999, 10512, 13088, 13271, 13466, 15625, 49547, 50502, 60146, 73398, 85941, 99999, 155613, 205062, 513335, 712539, 999999, 1005012, 1060146, 1334666, 3990487, 5005002, 9999999, 20050062, 26930824, 39341318, 46022544, 58331666, 63116013
OFFSET
1,1
COMMENTS
A002283 is a subset of this sequence.
Contains 5*10^(2*m)+5*10^m+2 and 2*10^(2*m+1)+5*10^(m+1)+62 for m >= 2. - Robert Israel, Jun 29 2018
LINKS
EXAMPLE
13088 * 13089 = 171308832;
13271 * 13272 = 176132712.
MAPLE
P:=proc(q) local k, n; for n from 1 to q do if n mod 10>0 then
for k from 1 to ilog10(n*(n+1))-ilog10(n)+1 do
if n=trunc(n*(n+1)/10^(k-1)) mod 10^(ilog10(n)+1) then print(n);
break; fi; od; fi; od; end: P(10^8);
CROSSREFS
Sequence in context: A306567 A061817 A083835 * A045644 A116136 A139280
KEYWORD
nonn,base
AUTHOR
Paolo P. Lava, Jun 28 2018
EXTENSIONS
Edited by Robert Israel, Jun 29 2018
STATUS
approved