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A065138 Numbers that 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; text; 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, Apr 27 2009]

LINKS

Table of n, a(n) for n=1..7.

Terry Trotter, Trotter Math. News, 1998[broken link]

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@# &] (* Robert G. Wilson v, Apr 27 2009 *)

CROSSREFS

Cf. A046197, A065137.

Sequence in context: A214311 A005147 A007308 * A279821 A008841 A038624

Adjacent sequences:  A065135 A065136 A065137 * A065139 A065140 A065141

KEYWORD

base,fini,full,nonn

AUTHOR

Henry Bottomley, Oct 15 2001

STATUS

approved

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Last modified March 28 22:27 EDT 2017. Contains 284249 sequences.