A185353 a(n) = (1^1 + 2^2 . . . + n^n) mod 10.
1, 5, 2, 8, 3, 9, 2, 8, 7, 7, 8, 4, 7, 3, 8, 4, 1, 5, 4, 4, 5, 9, 6, 2, 7, 3, 6, 2, 1, 1, 2, 8, 1, 7, 2, 8, 5, 9, 8, 8, 9, 3, 0, 6, 1, 7, 0, 6, 5, 5, 6, 2, 5, 1, 6, 2, 9, 3, 2, 2, 3, 7, 4, 0, 5, 1, 4, 0, 9, 9, 0, 6, 9, 5, 0, 6, 3, 7, 6, 6, 7, 1, 8, 4, 9, 5, 8, 4, 3, 3, 4, 0, 3, 9, 4, 0, 7, 1, 0, 0
Offset: 1
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 1..1000
Programs
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Mathematica
Mod[Accumulate[Table[n^n, {n, 200}]], 10] (* T. D. Noe, Jan 27 2012 *)
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PARI
a(n) = sum(k=1, n, k^k) % 10; \\ Michel Marcus, Jun 28 2017
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Python
from itertools import accumulate, count, islice def A185353_gen(): # generator of terms yield from accumulate((pow(k,k,10) for k in count(1)),func=lambda x,y:(x+y)%10) A185353_list = list(islice(A185353_gen(),40)) # Chai Wah Wu, Jun 17 2022
Extensions
Extended by T. D. Noe, Jan 27 2012
Comments