id:A110633 - OEIS Search Results

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Every third term of A083946 where the self-convolution third power is congruent modulo 9 to A083946, which consists entirely of numbers 1 through 6.

+0
4

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

	OFFSET	`0,2`
	EXAMPLE	`A(x) = 1 + 2x + 6x^2 + 4x^3 + 6x^4 + 4x^5 + 3x^6 +...` `A(x)^3 = 1 + 6x + 30x^2 + 92x^3 + 246x^4 + 492x^5 +...` `A(x)^3 (mod 9) = 1 + 6x + 3x^2 + 2x^3 + 3x^4 + 6x^5 +...` `G(x) = 1 + 6x + 3x^2 + 2x^3 + 3x^4 + 6*x^5 +...` `where G(x) is the g.f. of A083946.`
	PROGRAM	`(PARI) {a(n)=local(d=3, m=6, 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. A110632, A110634.` `Sequence in context: A021382 A010465 A065630 this_sequence A119250 A059773 A127399` `Adjacent sequences: A110630 A110631 A110632 this_sequence A110634 A110635 A110636`
	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 December 10 12:37 EST 2009. Contains 170569 sequences.

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