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 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 (list; graph; refs; listen; history; text; internal format)
 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)*(d-1)/2=A000096(d-1), counted with multiplicity, where d=A055642(N). LINKS Ray Chandler, Table of n, a(n) for n=1..38 FORMULA {n: A138953(n)=A004086(n)} - R. J. Mathar, Jul 06 2009 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 Sequence in context: A332046 A166511 A062237 * A033022 A031497 A020337 Adjacent sequences: A162464 A162465 A162466 * A162468 A162469 A162470 KEYWORD nonn,base AUTHOR Claudio Meller, Jul 04 2009 EXTENSIONS 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 STATUS approved

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Last modified February 22 22:30 EST 2024. Contains 370265 sequences. (Running on oeis4.)