

A132152


a(4n+k) = 4a(4n+k1)6a(4n+k2)+4a(4n+k3), for k = 0,1,2; 2*a(4n+3) = 7a(4n+2)8(4n+1)+2a(4n), with a(0) = a(1) = a(2) = 0, a(3) = 1.


0



0, 0, 0, 1, 4, 10, 20, 34, 56, 100, 200, 356, 624, 1160, 2320, 4104, 7136, 13200, 26400, 46736, 81344, 150560, 301120, 533024, 927616, 1716800, 3433600, 6078016, 10577664, 19576960, 39153920, 69308544, 120618496, 223238400
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,5


COMMENTS

a(n+1)2a(n)= 0, 0, 1, 2, 2, 0, 6, 12, 12, 0, 44, 88, 88, 0


LINKS

Table of n, a(n) for n=0..33.
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 10, 0, 0, 0, 16).


FORMULA

Sequence is identical to its fourth differences in absolute value.
a(n)=10*a(n4)+16*a(n8), n>8.  R. J. Mathar, Feb 07 2009


MATHEMATICA

Join[{0}, LinearRecurrence[{0, 0, 0, 10, 0, 0, 0, 16}, {0, 0, 1, 4, 10, 20, 34, 56}, 40]] (* Harvey P. Dale, Nov 03 2013 *)


CROSSREFS

Cf. A000749 (0, 0, 0, 1, 4, 10, 20, 36) for which a(n)=4a(n1)6a(n2)+4a(n3).
Sequence in context: A024991 A000742 A301134 * A008234 A008114 A301139
Adjacent sequences: A132149 A132150 A132151 * A132153 A132154 A132155


KEYWORD

nonn


AUTHOR

Paul Curtz, Nov 01 2007


EXTENSIONS

Definition corrected and the sequence extended by R. J. Mathar, Feb 07 2009


STATUS

approved



