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A027936

Distinct value of array T given by A027935.

1, 2, 4, 5, 7, 11, 12, 13, 16, 22, 26, 29, 33, 34, 37, 46, 51, 56, 67, 79, 88, 89, 92, 106, 121, 137, 154, 155, 172, 176, 191, 211, 221, 232, 233, 247, 254, 277, 301, 326, 352, 365, 376, 379, 407, 436, 466, 497, 529, 530, 551, 562, 596

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OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000

MATHEMATICA

A027935[n_, k_]:= A027935[n, k]= Sum[Binomial[n-j, 2*(n-k-j)], {j, 0, Floor[(2*n-2*k+ 1)/2]}];

A027936= Table[A027935[n, k], {n, 0, 225}, {k, 0, n}]//Flatten//Union;

Table[A027936[[n]], {n, 100}] (* G. C. Greubel, Jun 06 2025 *)

PROG

(SageMath)

@CachedFunction

def A027935(n, k): return sum(binomial(n-j, 2*(n-k-j)) for j in range(int((2*n-2*k+1)/2+1)) )

A027936 = sorted(set(flatten([[ A027935(n, k) for k in range(n+1)] for n in range(103)])))

print([A027936[n] for n in range(100)]) # G. C. Greubel, Jun 06 2025

CROSSREFS

Cf. A027935.

Sequence in context: A331518 A145734 A349729 * A082741 A288349 A099522

Adjacent sequences: A027933 A027934 A027935 * A027937 A027938 A027939

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

URL: https://oeis.org/A027936

⇱ A027936 - OEIS