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A102543
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Antidiagonal sums of the antidiagonals of Losanitsch's triangle.
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2
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1, 1, 1, 2, 2, 3, 4, 6, 8, 12, 16, 24, 33, 49, 69, 102, 145, 214, 307, 452, 653, 960, 1393, 2046, 2978, 4371, 6376, 9354, 13665, 20041, 29307, 42972, 62884, 92191, 134974, 197858, 289772, 424746, 622198
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| The Ca1 and Ca2 sums, see A180662 for their definitions, of Losanitsch's triangle A034851 equal this sequence. [Johannes W. Meijer, Jul 14 2011]
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FORMULA
| a(n) = A068927(n-1), n>3.
From Johannes W. Meijer, Jul 14 2011: (Start)
G.f.: (-1/2)*(1/(x^3+x-1)+(1+x+x^3)/(x^6+x^2-1))
a(n) = (A000930(n)+x(n)+x(n-1)+x(n-3))/2 with x(2*n) = A000930(n) and x(2*n+1) = 0 (End)
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MAPLE
| A102543 := proc(n): (A000930(n)+x(n)+x(n-1)+x(n-3))/2 end: A000930:=proc(n): sum(binomial(n-2*i, i), i=0..n/3) end: x:=proc(n): if type(n, even) then A000930(n/2) else 0 fi: end: seq(A102543(n), n=0..38); [Johannes W. Meijer, Jul 14 2011]
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CROSSREFS
| Cf. A034851 A068927, A102451.
Sequence in context: A067859 A006207 A017912 * A068598 A163770 A035561
Adjacent sequences: A102540 A102541 A102542 * A102544 A102545 A102546
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KEYWORD
| nonn
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AUTHOR
| Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Feb 24 2005
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