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A152826 Numbers with the following property that they are divisible by the product of the digit-sums of their neighbours. +0
1
105, 672, 1200, 1530, 1560, 2145, 2907, 3060, 3432, 4704, 5814, 6006, 6120, 6240, 8721, 9570, 10710, 10752, 10920, 11154, 11628, 11700, 12240, 12441, 13260, 14535, 15015, 16302, 17442, 19656, 20163, 20280, 20832, 21420, 22620, 23256, 23400 (list; graph; listen)
OFFSET

1,1

REFERENCES

Die WURZEL - Zeitschrift fuer Mathematik, 42. Jahrgang, Dezember 2008, Seite 287, WURZEL-Aufgabe sigma55 von Reiner Moewald, Germersheim.

PROGRAM

(Other) class Program { static void Main(string[] args) { for (int i = 1; i < 1000000; i++) { int q1 = quersumme(i - 1); int q2 = quersumme(i + 1); if ((double)i % ((double)q1 * (double)q2) == 0) { Console.WriteLine(i); } } Console.ReadLine(); } static int quersumme(int num) { string n = num.ToString(); int retval = 0; int i = n.Length - 1; while (i >= 0) { retval += Int32.Parse(n.Substring(i, 1)); i--; } return retval; } }

CROSSREFS

Sequence in context: A165069 A143041 A078420 this_sequence A133767 A166816 A166798

Adjacent sequences: A152823 A152824 A152825 this_sequence A152827 A152828 A152829

KEYWORD

nonn,base

AUTHOR

Gerhard Palme (GerhardPalme(AT)gmx.de), Dec 13 2008

page 1

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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