

A218539


Numbers that are equal to the sum of the uniform platonic polyhedral (figurate) numbers (tetrahedral, cubic, octahedral, dodecahedral, or icosahedral) on each of their digits.


0



0, 1, 20, 21, 24, 153, 240, 241, 289, 304, 324, 370, 371, 407, 440, 441, 593, 739, 2167, 2284, 2348, 2484, 2583, 2860, 2861, 3009, 3029, 3093, 3249, 4288, 5859, 6888, 7996, 9898
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OFFSET

1,3


COMMENTS

153, 370, 371, and 407 are well known with regard to the cubic numbers.


LINKS

Table of n, a(n) for n=1..34.


EXAMPLE

The octahedral numbers are represented by the formula, y(x)=(2x^3+x)/3; apply this formula to each of the digits in a(18)=739, i.e., y(7)=231, y(3)=19, y(9)=489; sum=739; the dodecahedral numbers are represented by the formula, y(x)=x(3x1)(3x2)/2; apply this formula to each of the digits in a(34)=9898, i.e., y(9)=2725, y(8)=2024; y(9)=2725, y(8)=2024; sum=9898.


CROSSREFS

Cf. A005188, A007532, A036057.
Sequence in context: A241850 A138601 A278582 * A295488 A008940 A014368
Adjacent sequences: A218536 A218537 A218538 * A218540 A218541 A218542


KEYWORD

nonn,base


AUTHOR

Thomas S. Pedigo, Nov 01 2012


STATUS

approved



