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A064671 Number of n-digit base 4 biquanimous numbers (with leading 0's allowed, but not all-0 string). 1
0, 3, 18, 91, 420, 1829, 7686, 31623, 128520, 518665, 2084874, 8361995, 33497100, 134094861, 536608782, 2146926607, 8588754960, 34357248017, 137433710610, 549744803859, 2199000186900, 8796044787733, 35184271425558 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

A number is biquanimous (A064544) if its digits can be split into two sets with the same sum - David W. Wilson, SeqFan memo, Oct 08 2001.

FORMULA

Conjecture: G.f.:(x*(16*x^3-22*x^2+12*x-3))/((-1+4*x)*(2*x-1)^2*(x-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]

CROSSREFS

Sequence in context: A088336 A133594 A092691 * A058409 A125833 A129547

Adjacent sequences:  A064668 A064669 A064670 * A064672 A064673 A064674

KEYWORD

nonn,base

AUTHOR

John W. Layman (layman(AT)math.vt.edu), Oct 09 2001

EXTENSIONS

More terms from Christian G. Bower (bowerc(AT)usa.net), Oct 12 2001

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Last modified February 13 21:09 EST 2012. Contains 205561 sequences.