A246508 Digital root of numbers congruent to {1,7,11,13,17,19,23,29} modulo 30.

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

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: A126561 A306858 A324558 * A371529 A144875 A248286

Adjacent sequences: A246505 A246506 A246507 * A246509 A246510 A246511

Keyword

nonn,base,easy

Author

Gary Croft, Nov 14 2014

Status

approved