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Every third term of A083949 where the self-convolution third power is congruent modulo 27 to A083949, which consists entirely of numbers 1 through 9.

+0
3

1, 3, 3, 1, 6, 6, 9, 6, 6, 9, 3, 3, 2, 6, 6, 7, 9, 9, 5, 9, 9, 3, 6, 6, 5, 9, 9, 3, 9, 9, 1, 6, 6, 7, 6, 6, 3, 9, 9, 5, 3, 3, 5, 9, 9, 9, 9, 9, 9, 6, 6, 2, 9, 9, 8, 3, 3, 3, 3, 3, 1, 3, 3, 7, 9, 9, 1, 6, 6, 1, 9, 9, 4, 3, 3, 8, 9, 9, 5, 3, 3, 1, 6, 6, 1, 6, 6, 2, 9, 9, 9, 9, 9, 2, 6, 6, 7, 3, 3, 6, 6, 6, 8, 9, 9 (list; graph; listen)

	OFFSET	`0,2`
	EXAMPLE	`A(x) = 1 + 3x + 3x^2 + x^3 + 6x^4 + 6x^5 + 9x^6 +...` `A(x)^3 = 1 + 9x + 36x^2 + 84x^3 + 144x^4 + 252x^5 +...` `A(x)^3 (mod 27) = 1 + 9x + 9x^2 + 3x^3 + 9x^4 + 9x^5 +...` `G(x) = 1 + 9x + 9x^2 + 3x^3 + 9x^4 + 9x^5 + 3*x^6 +...` `where G(x) is the g.f. of A083949.`
	PROGRAM	`(PARI) {a(n)=local(d=3, m=9, A=1+mx); for(j=2, dn, for(k=1, m, t=polcoeff((A+kx^j+xO(x^j))^(1/m), j); if(denominator(t)==1, A=A+kx^j; break))); polcoeff(A, dn)}`
	CROSSREFS	`Cf. A083949, A110639.` `Sequence in context: A165202 A010468 A082009 this_sequence A143389 A094040 A039798` `Adjacent sequences: A110637 A110638 A110639 this_sequence A110641 A110642 A110643`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com) and Paul D. Hanna (pauldhanna(AT)juno.com), Aug 30 2005`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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