

A162467


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


1



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
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OFFSET

1,2


COMMENTS

Here substrings are substrings of adjacent digits of length less than the number of digits of n, of which there are (d+2)*(d1)/2=A000096(d1), counted with multiplicity, where d=A055642(N).


LINKS



FORMULA



EXAMPLE

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.


CROSSREFS

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


KEYWORD

nonn,base


AUTHOR



EXTENSIONS

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


STATUS

approved



