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A072496 k-morphic numbers for any k such that (k-1)/10 is an odd integer not divisible by 5. 3
0, 1, 4, 5, 6, 9, 11, 16, 19, 21, 24, 25, 29, 31, 36, 39, 41, 44, 49, 51, 56, 59, 61, 64, 69, 71, 75, 76, 79, 81, 84, 89, 91, 96, 99, 101, 125, 149, 151, 176, 199, 201, 224, 249, 251, 299, 301, 349, 351, 375, 376, 399, 401, 424, 449, 451, 499, 501, 549, 551 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Definition: n is a k-morphic number if n^k ends with n

3-morphic numbers = 7-morphic numbers, see A033819; 5-morphic numbers = 13-morphic numbers, see A068407.

LINKS

Table of n, a(n) for n=1..60.

PROG

(PARI) k=11; for(n=1, 10000, if((n^k)%(10^ceil(log(n)/log(10)))==n, print1(n, ", "))); \\ starting with 4, 5, ...

(Sage)

def automorphic(maxdigits, pow, base=10) :

....morphs = [[0]]

....for i in xrange(maxdigits):

........T=[d*base^i+x for x in morphs[-1] for d in xrange(base)]

........morphs.append([x for x in T if x^pow % base^(i+1) == x])

....res = list(set(sum(morphs, []))); res.sort()

....return res

end # (call with pow=11 for this sequence), Eric M. Schmidt, Jul 30 2013

CROSSREFS

Cf. A072495.

Sequence in context: A206822 A195993 A010456 * A306482 A047431 A288695

Adjacent sequences:  A072493 A072494 A072495 * A072497 A072498 A072499

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Oct 19 2002

EXTENSIONS

Sequence corrected by Eric M. Schmidt, Jul 30 2013

STATUS

approved

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Last modified August 24 03:51 EDT 2019. Contains 326260 sequences. (Running on oeis4.)