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A099462 Expansion of x/(1-4x^2-4x^3). 1
0, 1, 0, 4, 4, 16, 32, 80, 192, 448, 1088, 2560, 6144, 14592, 34816, 82944, 197632, 471040, 1122304, 2674688, 6373376, 15187968, 36192256, 86245376, 205520896, 489750528, 1167065088, 2781085696, 6627262464, 15792603136, 37633392640 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Binomial transform is A099463.

LINKS

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (0,4,4).

FORMULA

a(n)=4a(n-2)+4a(n-3); a(n)=sum{k=0..floor((n-1)/2), binomial(k, n-2k-1)4^k}.

a(n+1)=sum{k=0..floor(n/2), C((n-k)/2, k)*(1+(-1)^(n-k))*2^(n-k)}; - Paul Barry, Sep 09 2005

CROSSREFS

Sequence in context: A322039 A158101 A038234 * A218051 A092266 A219398

Adjacent sequences:  A099459 A099460 A099461 * A099463 A099464 A099465

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Oct 16 2004

STATUS

approved

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Last modified May 17 00:16 EDT 2021. Contains 343957 sequences. (Running on oeis4.)