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A159010 Denominator of the integral of x^n times the Cantor function, from 0 to 1. 1

%I

%S 2,16,48,1280,640,279552,93184,87326720,196485120,1289117040640,

%T 257823408128,37368456004239360,6228076000706560,

%U 458287510968422367232,982044666360905072640,563650690404417328113516544

%N Denominator of the integral of x^n times the Cantor function, from 0 to 1.

%F I(n) = 1/(2*(n+1)) + 1/(2*3^(n+1)-1) * sum_{i=0}{n-1} (n choose i) 2^(n-i) I(i)

%e I(0) is obviously 1/2 by symmetry.

%Y A159009 gives the corresponding numerators. A095844/A095845 give the integrals of powers of the Cantor function itself.

%K frac,nonn

%O 0,1

%A Simon Tatham (anakin(AT)pobox.com), Apr 02 2009

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Last modified January 31 01:17 EST 2023. Contains 359947 sequences. (Running on oeis4.)