This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A127640 #14 Feb 28 2025 18:24:25 %S A127640 2,0,3,0,0,5,0,0,0,7,0,0,0,0,11,0,0,0,0,0,13,0,0,0,0,0,0,17,0,0,0,0,0, %T A127640 0,0,19,0,0,0,0,0,0,0,0,23,0,0,0,0,0,0,0,0,0,29,0,0,0,0,0,0,0,0,0,0, %U A127640 31,0,0,0,0,0,0,0,0,0,0,0,37,0,0,0,0,0,0,0,0,0,0,0,0,41,0,0,0,0,0,0,0,0,0,0 %N A127640 Triangle read by rows in which row n contains n-1 0's followed by prime(n). %C A127640 A127641 = this sequence * A051731. %H A127640 Harvey P. Dale, <a href="/A127640/b127640.txt">Table of n, a(n) for n = 1..1000</a> %e A127640 First few rows of the triangle are: %e A127640 2; %e A127640 0, 3 %e A127640 0, 0, 5; %e A127640 0, 0, 0, 7; %e A127640 0, 0, 0, 0, 11; %e A127640 ... %p A127640 A127640 := proc(n,m) if m < n then 0; else ithprime(n) ; fi ; end: for n from 1 to 15 do for m from 1 to n do printf("%d,",A127640(n,m)) ; od ; od ; # _R. J. Mathar_, May 19 2007 %t A127640 Table[PadLeft[{Prime[n]},n,0],{n,15}]//Flatten (* _Harvey P. Dale_, Feb 28 2025 *) %Y A127640 Cf. A127641, A127638, A127639, A051731. %K A127640 nonn,tabl,easy %O A127640 1,1 %A A127640 _Gary W. Adamson_, Jan 21 2007 %E A127640 More terms from _R. J. Mathar_, May 19 2007