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A373006
Antidiagonal sums of A373005.
1
1, 2, 6, 10, 20, 41, 84, 162, 324, 637, 1276, 2509, 5018, 9907, 19816, 39202, 78404, 155381, 310764, 616665, 1233330, 2449867, 4899736, 9740685, 19481370, 38754731, 77509464, 154276027, 308552054, 614429671, 1228859344, 2448023842, 4896047684, 9756737701, 19513475404
OFFSET
0,2
FORMULA
Limit_{n->oo} a(n)/a(n-1) = 2.
MATHEMATICA
A373005[n_, k_]:=If[OddQ[k], Sum[Binomial[n, i], {i, 0, (k-1)/2}], Sum[Binomial[n, i], {i, 0, k/2-1}]+Binomial[n-1, k/2-1]]; a[n_]:=Sum[A373005[n-k, n], {k, 0, n}]; Array[a, 35, 0]
CROSSREFS
Sequence in context: A198381 A309846 A309874 * A317759 A014279 A050543
KEYWORD
nonn
AUTHOR
Stefano Spezia, May 19 2024
STATUS
approved