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A171703 The first n-fold intrinsically 4-palindromic number (represented in base ten). 24
9, 624, 19040, 30222192, 592704000, 12040481088, 128024064000, 1024192512000, 3456649728000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The fifth and sixth terms are both cubes, exploiting the simple binomial expansion as (m)(m)^3=(m^3)(3m^3)(3m^3)(m^3) for much of their status. - James G. Merickel, Dec 19 2009

The first base in which the fifth term is 4-palindromic is 209. - James G. Merickel, Dec 18 2009

a(10) <= 27653197824000, a(11) <= 27653197824000, a(12) <= 575100098496000, a(13) <= 1733189185728000, a(14) <= 1733189185728000, a(15) <= 8400090327552000. - Hiroaki Yamanouchi, Sep 24 2014

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

a(2)=624 is 4444 in base 5 and 1551 in base 7.

CROSSREFS

Cf. A171701, A171702, A171704, A171705, A171706, A171740, A171741, A171742.

Sequence in context: A139107 A226552 A277232 * A085530 A188423 A158881

Adjacent sequences:  A171700 A171701 A171702 * A171704 A171705 A171706

KEYWORD

nonn,base

AUTHOR

James G. Merickel, Dec 16 2009

EXTENSIONS

a(5)-a(6) from James G. Merickel, Dec 19 2009

a(7)-a(9) from Hiroaki Yamanouchi, Sep 24 2014

STATUS

approved

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Last modified April 7 10:26 EDT 2020. Contains 333300 sequences. (Running on oeis4.)