

A303296


Digital roots of fourth powers A000583.


0



1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9
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OFFSET

1,2


COMMENTS

This sequence is related to A056992, the digital roots of the squares, and also presents a period of 9, in this case repeat [1, 7, 9, 4, 4, 9, 7, 1, 9].
a(n) = 9 if n is a multiple of 3.
Replace 4 with 7 and 7 with 4 in A056992.  Omar E. Pol, Apr 21 2018


LINKS

Table of n, a(n) for n=1..90.
I. Izmirli, On Some Properties of Digital Roots, Advances in Pure Mathematics, Vol. 4 No. 6 (2014), Article ID:47285.
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,1).


FORMULA

a(n) = A010888(A000583(n)) = a(n  9).


MATHEMATICA

Table[FixedPoint[Total[IntegerDigits[#]] &, n^4], {n, 90}]


PROG

(PARI) a(n) = (n^41)%9+1; \\ Michel Marcus, Apr 22 2018


CROSSREFS

Cf. A000583, A010888, A056992.
Sequence in context: A121168 A102375 A216754 * A118270 A179292 A198756
Adjacent sequences: A303293 A303294 A303295 * A303297 A303298 A303299


KEYWORD

nonn,base,easy


AUTHOR

Gaston Maire and students, Apr 21 2018


STATUS

approved



