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A350326
Binomial transform of A339443(n).
0
1, 2, 5, 11, 24, 52, 110, 227, 463, 947, 1956, 4073, 8501, 17695, 36654, 75585, 155396, 318958, 654018, 1339502, 2738706, 5586721, 11368212, 23081884, 46793949, 94805057, 192116284, 389627700, 791036691, 1607529164, 3268715492, 6647212980, 13512728367, 27449702179
OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..n} binomial(n,k) * A339443(n-k+1).
MATHEMATICA
a[n_] := (1 - (-1)^n) (1 + Floor[Sqrt[2 n - 1]])/2 - (((-1)^n - 2 n - 1)/2 + 2 Sum[Floor[(k + 1)/2], {k, -1 + Floor[Sqrt[2 n - 2 - (-1)^n]]}]) (-1)^n/2; Table[Sum[Binomial[n, i]*a[n - i + 1], {i, 0, n}], {n, 0, 40}]
CROSSREFS
Cf. A339443.
Sequence in context: A134389 A286945 A371797 * A111297 A077864 A052980
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Dec 24 2021
STATUS
approved