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A053208
Row sums of A053207.
5
0, 3, 10, 24, 52, 108, 220, 444, 892, 1788, 3580, 7164, 14332, 28668, 57340, 114684, 229372, 458748, 917500, 1835004, 3670012, 7340028, 14680060, 29360124, 58720252, 117440508, 234881020, 469762044, 939524092, 1879048188
OFFSET
0,2
FORMULA
a(0) = 0, a(1) = 3, a(n+1) = 2*a(n) + 4, for n >= 1.
a(n) = 7*2^(n-1) - 4, n >= 1.
G.f.: x*(x + 3)/((x - 1)*(2*x - 1)). - Chai Wah Wu, Jul 24 2020
MATHEMATICA
Join[{0}, NestList[2#+4&, 3, 30]] (* Harvey P. Dale, Nov 08 2013 *)
Join[{0}, Table[7*2^(n-1) -4, {n, 50}]] (* G. C. Greubel, Sep 03 2018 *)
PROG
(PARI) concat([0], vector(50, n, 7*2^(n-1) -4)) \\ G. C. Greubel, Sep 03 2018
(Magma) [0] cat [7*2^(n-1) -4: n in [1..50]]; // G. C. Greubel, Sep 03 2018
CROSSREFS
Sequence in context: A144413 A033811 A062446 * A355024 A338706 A338710
KEYWORD
nonn,easy
AUTHOR
Asher Auel, Dec 13 1999
STATUS
approved