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URL: https://oeis.org/A072496

⇱ A072496 - OEIS

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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
OFFSET
1,3
COMMENTS
Definition: n is a k-morphic number if n^k ends with n.
PROG
(PARI) k=11; for(n=1, 10000, if((n^k)%(10^ceil(log(n)/log(10)))==n, print1(n, ", "))); \\ starting with 4, 5, ...
(SageMath)
def automorphic(maxdigits, pow, base=10) :
morphs = [[0]]
for i in range(maxdigits):
T=[d*base^i+x for x in morphs[-1] for d in range(base)]
morphs.append([x for x in T if x^pow % base^(i+1) == x])
res = list(set(sum(morphs, []))); res.sort()
return res
# (call with pow=11 for this sequence), Eric M. Schmidt, Jul 30 2013
CROSSREFS
Cf. A072495.
3-morphic numbers = 7-morphic numbers, see A033819; 5-morphic numbers = 13-morphic numbers, see A068407.
Sequence in context: A195993 A334457 A010456 * A306482 A047431 A288695
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Oct 19 2002
EXTENSIONS
Sequence corrected by Eric M. Schmidt, Jul 30 2013
STATUS
approved