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A065138 Numbers which are equal to the sum of their digits plus the sum of cubes of their digits. 1
0, 12, 30, 666, 870, 960, 1998 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

Underwood Dudley, Numerology or, what Pythagoras wrought, Spectrum Series, Chapter 7 - Beastly Curiosities, page 71, Mathematical Association of America, Washington, D.C., 1997. [From Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 27 2009]

LINKS

Terry Trotter, Trotter Math. News, 1998

EXAMPLE

12 is included because 12=(1+2)+(1^3+2^3)

MATHEMATICA

fQ[n_] := Block[{id = IntegerDigits@ n}, Plus @@ id + Plus @@ (id^3) == n]; Select[ Range[0, 2000], fQ@# &] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 27 2009]

CROSSREFS

Cf. A046197, A065137.

Sequence in context: A080563 A005147 A007308 * A008841 A038624 A074299

Adjacent sequences:  A065135 A065136 A065137 * A065139 A065140 A065141

KEYWORD

base,fini,full,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Oct 15 2001

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.