A258290 - OEIS

A258290

Arithmetic derivative of central binomial coefficients, cf. A000984.

0, 1, 5, 24, 59, 456, 1448, 6868, 19749, 69364, 236356, 1526956, 3717440, 22858340, 122553540, 474051984, 954720543, 5726109024, 19329586520, 92051285020, 319059863484, 1271796704788, 4829219746964, 29791326914640, 74372011398840, 340296661452300

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OFFSET

0,3

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A003415(A000984(n)).

Central terms in triangle A258197: a(n) = A258197(2*n,n).

MATHEMATICA

ad[n_] := n * Plus @@ ((Last[#]/First[#]) & /@ FactorInteger[n]); ad[0] = ad[1] = 0; a[n_] := ad[Binomial[2*n, n]]; Array[a, 26, 0] (* Amiram Eldar, Apr 13 2025 *)

PROG

(Haskell)

a258290 = a003415 . a000984

CROSSREFS

Cf. A000984, A003415, A258197.

Sequence in context: A085646 A121546 A135703 * A205669 A101147 A274723

Adjacent sequences: A258287 A258288 A258289 * A258291 A258292 A258293

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, May 26 2015

STATUS

approved