A125303 -id:A125303 - cp's OEIS frontend

A162467 Numbers n such that the sum of all proper substrings of their decimal representation equals the reverse of n.

0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 891, 941, 2931, 51070, 147970, 1330550, 1523870, 75914061, 30735249050, 32036090950, 90000000001, 575605978451, 922898423231, 21326410034240, 31829906273560, 93336794910541, 39470358768890551

Offset: 1

Claudio Meller, Jul 04 2009

Here substrings are substrings of adjacent digits of length less than the number of digits of n, of which there are (d+2)*(d-1)/2=A000096(d-1), counted with multiplicity, where d=A055642(N).

			941 is in the list because 94 + 41 + 9 + 4 + 1 = 149.
51070 is in the list because 5107+1070+510+107+070+51+10+07+70+5+1+0+7+0=07015.

Ray Chandler, Table of n, a(n) for n=1..38

Cf. A125303 (substrings without multiplicity). - R. J. Mathar, Jul 06 2009

{n: A138953(n)=A004086(n)} - R. J. Mathar, Jul 06 2009

Keyword base added, 10 to 90 and 147970 added by R. J. Mathar, Jul 06 2009

0 and a(16)-a(38) from Ray Chandler, Jul 15 2009

cp's OEIS Frontend

A162467 Numbers n such that the sum of all proper substrings of their decimal representation equals the reverse of n.

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