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A162225
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Base-6 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-6 digits, for some k.
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11
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0, 1, 2, 3, 4, 5, 99, 190, 251, 308, 2292, 2293, 2324, 3432, 3433, 6197, 36140, 269458, 391907, 10067135, 1428423394, 2510142206, 2511720147, 3866632806, 3866632807, 3930544834, 4953134588, 5018649129, 6170640875, 32693825124, 32693825125
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OFFSET
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1,3
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COMMENTS
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Whenever a(n) is a multiple of 6, then a(n+1) = a(n) + 1 is also a base-6 perfect digital invariant, with the same exponent k. - M. F. Hasler, Nov 21 2019
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LINKS
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PROG
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(PARI) select( {is_A162225(n, b=6)=if(n<b, 1, my(t=vecmax(b=digits(n, b))); t>1 && forstep(p=logint(n, t), logint(n, vecsum(b)), -1, (t=vecsum([d^p|d<-b]))>n|| return(t==n)))}, [0..10^5]) \\ M. F. Hasler, Nov 21 2019
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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