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 A184576 G.f.: A(x) = 1+x*(1+x*(1+x*(...(1+x*(...)^(4^n) )...)^64)^16)^4. 2
 1, 1, 4, 70, 4772, 1256737, 1300189840, 5343387957552, 87635577037531120, 5745017883201162928720, 1506152833843572741772875256, 1579354544764797425414872390884936, 6624338541974058042578557252396267711144 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Limit a(n)/4^[n(n-1)/2] = 1.2167020033386380312738338894882216... LINKS Table of n, a(n) for n=0..12. EXAMPLE G.f.: A(x) = 1 + x + 4*x^2 + 70*x^3 + 4772*x^4 + 1256737*x^5 +... Related functions are defined by: A(x) = 1 + x*B(x)^4; B(x) = 1 + x*C(x)^16; C(x) = 1 + x*D(x)^64; D(x) = 1 + x*E(x)^256; E(x) = 1 + x*F(x)^1024; ... where the coefficients in the above functions begin: B=[1,1,16,1144,310320,324057372,1334856912400,21904872061736520,...]; C=[1,1,64,18400,19940032,83109401072,1367783819781952,...]; D=[1,1,256,294784,1277438720,21285675278272,1400838812478999808,...]; E=[1,1,1024,4718080,81776520192,5449752029298432,1434517374576707974144,...]; F=[1,1,4096,75495424,5234024427520,1395176151497833472,...]. PROG (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(j=0, n-1, A=1+x*A^(4^(n-j))); polcoeff(A, n)} CROSSREFS Cf. A120959, A184575, A184577. Sequence in context: A301586 A367434 A136465 * A367523 A162135 A047939 Adjacent sequences: A184573 A184574 A184575 * A184577 A184578 A184579 KEYWORD nonn AUTHOR Paul D. Hanna, Jan 17 2011 STATUS approved

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Last modified September 15 18:36 EDT 2024. Contains 375954 sequences. (Running on oeis4.)