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Search: id:A065692
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A065692 Braided power sequence: this is b(n+1)=3b(n)+2d(n)-c(n), A065693 is c(n+1)=3c(n)+2b(n)-d(n), and A065694 is d(n+1)=3d(n)+2c(n)-b(n), starting with b(0)=0, c(0)=1 and d(0)=2. +0
3
0, 3, 24, 117, 417, 1140, 2583, 7311, 39840, 251613, 1329969, 5738172, 20838447, 67344735, 216818808, 812592261, 3660235905, 17401156548, 78077421639, 318790895727, 1197423287952, 4316735957805, 15912781695633 (list; graph; listen)
OFFSET

0,2

COMMENT

Tends to 4^n. "Braided" because the order of b(n), c(n) and d(n) changes between the six possibilities as n increases.

EXAMPLE

a(1)=3*0+2*2-1*1=3.

CROSSREFS

Adjacent sequences: A065689 A065690 A065691 this_sequence A065693 A065694 A065695

Sequence in context: A004282 A050545 A139031 this_sequence A127520 A009134 A009137

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Nov 14 2001

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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