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”).
%I #5 Dec 15 2017 17:36:20
%S 1,37,73,433,15301,39853,66781,78661,110161,146953,156493,202033,
%T 220033,305101,355753,416593,509833,593461,805933,1011061,1503001,
%U 1563661,2952613,4000033,4019653,4609513,5262193,6211837,6359221,6608701
%N Star numbers (A003154) whose digital sum and product of nonzero digits are both triangular numbers.
%e a(2)=37 because
%e ........()........
%e .......()().......
%e ..()()()()()()()..
%e ...()()()()()()...
%e ....()()()()()....
%e ...()()()()()()...
%e ..()()()()()()()..
%e .......()().......
%e ........()........
%e and 3+7 is
%e ....()....
%e ...()()...
%e ..()()()..
%e .()()()().
%e and 3*7 is
%e ......()......
%e .....()().....
%e ....()()()....
%e ...()()()()...
%e ..()()()()()..
%e .()()()()()().
%K base,nonn
%O 1,2
%A _Jason Earls_, Jun 17 2003