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Search: id:A080923
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A080923 First differences of A003946. +0
3
1, 3, 8, 24, 72, 216, 648, 1944, 5832, 17496, 52488, 157464, 472392, 1417176, 4251528, 12754584, 38263752, 114791256, 344373768, 1033121304, 3099363912, 9298091736, 27894275208, 83682825624, 251048476872, 753145430616 (list; graph; listen)
OFFSET

0,2

COMMENT

Sum of consecutive pairs of elements of A025192.

The alternating sign sequence with g.f. (1-x^2)/(1+3x) gives the row sums of A110168. - Paul Barry (pbarry(AT)wit.ie), Jul 14 2005

FORMULA

G.f.: (1-x^2)/(1-3x)

MAPLE

with(combstruct):ZL0:=S=Prod(Sequence(Prod(a, Sequence(b))), a):ZL1:=Prod(begin_blockP, Z, end_blockP):ZL2:=Prod(begin_blockLR, Z, Sequence(Prod(mu_length, Z), card>=1), end_blockLR): ZL3:=Prod(begin_blockRL, Sequence(Prod(mu_length, Z), card>=1), Z, end_blockRL):Q:=subs([a=Union(ZL1, ZL2, ZL3), b=ZL1], ZL0), begin_blockP=Epsilon, end_blockP=Epsilon, begin_blockLR=Epsilon, end_blockLR=Epsilon, begin_blockRL=Epsilon, end_blockRL=Epsilon, mu_length=Epsilon:temp15:=draw([S, {Q}, unlabelled], size=16):seq(count([S, {Q}, unlabelled], size=n), n=1..26); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 08 2008

with(finance):seq(ceil(futurevalue(8, 2, n)), n=-2..23); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2009]

CROSSREFS

Essentially the same as A005051, A026097 and A083583.

Sequence in context: A153774 A052855 A133787 this_sequence A118264 A006365 A046919

Adjacent sequences: A080920 A080921 A080922 this_sequence A080924 A080925 A080926

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 26 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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