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A159010 Denominator of the integral of x^n times the Cantor function, from 0 to 1. 1
2, 16, 48, 1280, 640, 279552, 93184, 87326720, 196485120, 1289117040640, 257823408128, 37368456004239360, 6228076000706560, 458287510968422367232, 982044666360905072640, 563650690404417328113516544 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..15.

FORMULA

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)

EXAMPLE

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

CROSSREFS

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

Sequence in context: A220250 A192388 A162442 * A223219 A063721 A232209

Adjacent sequences: A159007 A159008 A159009 * A159011 A159012 A159013

KEYWORD

frac,nonn

AUTHOR

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

STATUS

approved

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Last modified November 27 19:48 EST 2022. Contains 358406 sequences. (Running on oeis4.)