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A032799
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Numbers n such that n equals the sum of its digits raised to the consecutive powers (1,2,3,...).
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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; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 175, p. 55, Ellipses, Paris 2008.
Ken Follett, Code to Zero, Dutton, a Penguin Group, NY 2000, p. 84.
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LINKS
| Eric Weisstein's World of Mathematics, Narcissistic Number
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EXAMPLE
| 2646798 = 2^1 + 6^2 + 4^3 + 6^4 + 7^5 + 9^6 + 8^7.
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MATHEMATICA
| 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
| Sequence in context: A023106 A135480 A098766 * A160343 A024664 A078188
Adjacent sequences: A032796 A032797 A032798 * A032800 A032801 A032802
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KEYWORD
| nonn,base,fini,full
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com), May 15, 1998.
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EXTENSIONS
| Corrected by Macsy Zhang (macsy(AT)21cn.com), Feb 17, 2002
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