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A129101
Column 1 of triangle
A129100
; also equals column 0 of the matrix square of
A129100
.
4
1, 2, 6, 24, 136, 1162, 15702, 346768, 12836904, 814033666, 90074891654, 17659668432744, 6211830230882472, 3960850942657072026, 4617438765658479411542, 9912250203901899238148640
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OFFSET
0,2
LINKS
Table of n, a(n) for n=0..15.
FORMULA
a(n) =
A129094
(n+1) -
A129093
(n); a(n) =
A030067
(2^(n+1)+2^n-1) -
A030067
(2^(n+1)-3) for n>=0 where
A030067
is the semi-Fibonacci numbers.
PROG
(PARI) a(n)=local(A=Mat(1), B); for(m=1, n+2, B=matrix(m, m); for(r=1, m, for(c=1, r, if(r==c || r==1 || r==2, B[r, c]=1, if(c==1, B[r, 1]=sum(i=1, r-1, A[r-1, i]), B[r, c]=(A^(2^(c-1)))[r-c+1, 1])); )); A=B); return(A[n+2, 2])
CROSSREFS
Cf.
A129100
(triangle);
A129092
(column 0),
A129102
(column 2),
A129103
(column 3).
Sequence in context:
A370017
A343482
A216779
*
A292907
A216507
A366459
Adjacent sequences:
A129098
A129099
A129100
*
A129102
A129103
A129104
KEYWORD
nonn
AUTHOR
Paul D. Hanna
, Mar 29 2007
STATUS
approved
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Last modified September 19 14:43 EDT 2024. Contains 376013 sequences. (Running on oeis4.)