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Search: id:A032799
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| A032799 |
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n equals the sum of its digits raised to the consecutive powers (1,2,3,...). |
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+0
7
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 89, 135, 175, 518, 598, 1306, 1676, 2427, 2646798, 12157692622039623539
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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Ken Follett, Code to Zero, Dutton, a Penguin Group, NY 2000, p. 84.
J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 175, p. 55, Ellipses, Paris 2008.
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LINKS
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Eric Weisstein's World of Mathematics, Narcissistic Number
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EXAMPLE
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2646798 = 2^1 + 6^2 + 4^3 + 6^4 + 7^5 + 9^6 + 8^7.
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MATHEMATICA
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f[n_] := Plus @@ (IntegerDigits[n]^Range[ Floor[ Log[10, n] + 1]]); Select[ Range[10^7], f[ # ] == # &] (from Robert G. Wilson v (rgwv(AT)rgwv.com), May 04 2005)
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CROSSREFS
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Adjacent sequences: A032796 A032797 A032798 this_sequence A032800 A032801 A032802
Sequence in context: A038178 A023106 A135480 this_sequence A024664 A078188 A061805
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), May 15, 1998.
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EXTENSIONS
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Corrected by Macsy Zhang (macsy(AT)21cn.com), Feb 17, 2002
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