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A246508 Digital root of numbers congruent to {1,7,11,13,17,19,23,29} modulo 30. 0
1, 7, 2, 4, 8, 1, 5, 2, 4, 1, 5, 7, 2, 4, 8, 5, 7, 4, 8, 1, 5, 7, 2, 8, 1, 7, 2, 4, 8, 1, 5, 2, 4, 1, 5, 7, 2, 4, 8, 5, 7, 4, 8, 1, 5, 7, 2, 8, 1, 7, 2, 4, 8, 1, 5, 2, 4, 1, 5, 7, 2, 4, 8, 5, 7, 4, 8, 1, 5, 7, 2, 8, 1, 7, 2, 4, 8, 1, 5, 2, 4, 1, 5, 7, 2, 4, 8, 5, 7, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Period 24 repeating sequence, the digital root squares of which produce period 24 palindromic sequence A240924.

LINKS

Table of n, a(n) for n=1..90.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n) = A010888(A007775(n)). - Michel Marcus, Nov 25 2014

G.f.: ( -x*(1 +7*x +2*x^2 +4*x^3 +8*x^4 +x^5 +5*x^6 +2*x^7 +4*x^8 +x^9 +5*x^10 +7*x^11 +2*x^12 +4*x^13 +8*x^14 +5*x^15 +7*x^16 +4*x^17 +8*x^18 +x^19 +5*x^20 +7*x^21 +2*x^22 +8*x^23) ) / ( (x-1) *(1+x+x^2) *(1+x) *(1-x+x^2) *(1+x^2) *(x^4-x^2+1) *(1+x^4) *(x^8-x^4+1) ). - R. J. Mathar, Sep 22 2016

CROSSREFS

Cf. A007775 (numbers not divisible by 2, 3 or 5), A240924 (digital root of this sequence squared).

Sequence in context: A257452 A021142 A126561 * A144875 A248286 A049477

Adjacent sequences:  A246505 A246506 A246507 * A246509 A246510 A246511

KEYWORD

nonn,base,easy

AUTHOR

Gary Croft, Nov 14 2014

STATUS

approved

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Last modified June 24 05:50 EDT 2017. Contains 288697 sequences.