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 A180052 #9 Jun 12 2021 12:53:08 %S A180052 1,113,111336,1111333670,111113333667115,111111333336667111671, %T A180052 1111111333333666671111667338,111111113333333666667111116667334116, %U A180052 111111111333333336666667111111666673334112005,1111111111333333333666666671111111666667333341112001005 %N A180052 Partial sums of A180039. %C A180052 Row 5 of the Pascal array expressed as triangular numbers in 2 ways (value and number of digits). Could be viewed as part of a group expressing the n-th row of the Pascal array in n ways (see example). %e A180052 For the fifth row of the Pascal array, n=5: %e A180052 1,5,15,.. %e A180052 1,14,150,.. %e A180052 1,113,111336,.. %e A180052 1,1112,1111112223,.. %e A180052 1,11111,111111111111111,.. %e A180052 For n=4: %e A180052 1,4,10,20,.. %e A180052 1,13,136,1370,.. %e A180052 1,112,111223,1111222334,.. %e A180052 1,1111,1111111111,11111111111111111111,.. %t A180052 Accumulate[Accumulate[Table[FromDigits[PadRight[{},n,1]],{n,Accumulate[ Range[10]]}]]] (* _Harvey P. Dale_, Jun 12 2021 *) %Y A180052 Cf. A007318, A052262, A180039. %K A180052 nonn %O A180052 1,2 %A A180052 _Mark Dols_, Aug 08 2010