

A002781


Palindromic cubes.
(Formerly M4583 N1954)


6



0, 1, 8, 343, 1331, 1030301, 1367631, 1003003001, 10662526601, 1000300030001, 1030607060301, 1334996994331, 1000030000300001, 1033394994933301, 1331399339931331, 1000003000003000001, 1003006007006003001, 1331039930399301331
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OFFSET

1,3


REFERENCES

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

T. D. Noe, Table of n, a(n) for n = 1..89 (from De Geest)
Patrick De Geest, Palindromic Cubes
G. J. Simmons, Palindromic powers, J. Rec. Math., 3 (No. 2, 1970), 9398. [Annotated scanned copy]
G. J. Simmons, On palindromic squares of nonpalindromic numbers, J. Rec. Math., 5 (No. 1, 1972), 1119. [Annotated scanned copy]
G. J. Simmons, Palindrome cubes: Problem B183, Fibonacci Quart. 8 (1970), no. 5, p. 551.


FORMULA

a(n) = A002780(n)^3.


MATHEMATICA

Select[Range[0, 12*10^5]^3, PalindromeQ[#]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Feb 02 2017 *)


CROSSREFS

Cf. A002780.
Sequence in context: A117082 A061458 A135067 * A016875 A046244 A193225
Adjacent sequences: A002778 A002779 A002780 * A002782 A002783 A002784


KEYWORD

base,nonn,nice


AUTHOR

N. J. A. Sloane.


EXTENSIONS

Thanks to Pierre Genix (Pierre.Genix(AT)wanadoo.fr) and Harvey P. Dale who pointed out that there were errors in earlier versions of this sequence.


STATUS

approved



