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A110644 Every 11th term of A084066 such that the self-convolution 11th power is congruent modulo 121 to A084066, which consists entirely of numbers 1 through 11. 1
1, 1, 7, 4, 9, 5, 5, 1, 5, 5, 11, 11, 9, 5, 11, 4, 8, 10, 10, 8, 10, 5, 11, 6, 1, 7, 1, 11, 5, 10, 1, 9, 4, 3, 9, 6, 8, 1, 6, 3, 4, 8, 2, 4, 4, 8, 10, 2, 4, 11, 1, 7, 11, 9, 11, 5, 2, 1, 4, 7, 9, 3, 2, 5, 8, 1, 8, 7, 4, 3, 2, 3, 5, 9, 1, 9, 5, 4, 1, 4, 6, 8, 5, 6, 9, 7, 4, 4, 5, 4, 6, 4, 10, 6, 6, 9, 9, 9, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Congruent modulo 11 to A084211, where the self-convolution 11th power of A084211 equals A084066.

LINKS

Table of n, a(n) for n=0..98.

FORMULA

a(n) = A084066(11*n) for n>=0. G.f. satisfies: A(x^11) = G(x) - 11*x*((1-x^10)/(1-x))/(1-x^11), where G(x) is the g.f. of A084066. G.f. satisfies: A(x)^11 = A(x^11) + 11*x*((1-x^10)/(1-x))/(1-x^11) + 121*x^2*H(x) where H(x) is the g.f. of A111585.

PROG

(PARI) {a(n)=local(p=11, A, C, X=x+x*O(x^(p*n))); if(n==0, 1, A=sum(i=0, n-1, a(i)*x^(p*i))+p*x*((1-x^(p-1))/(1-X))/(1-X^p); for(k=1, p, C=polcoeff((A+k*x^(p*n))^(1/p), p*n); if(denominator(C)==1, return(k); break)))}

CROSSREFS

Cf. A084066, A111585, A084211.

Sequence in context: A019795 A200305 A199448 * A117028 A138282 A198572

Adjacent sequences:  A110641 A110642 A110643 * A110645 A110646 A110647

KEYWORD

nonn

AUTHOR

Robert G. Wilson v and Paul D. Hanna, Aug 08 2005

STATUS

approved

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Last modified September 24 22:46 EDT 2021. Contains 347651 sequences. (Running on oeis4.)