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A034872 Central column of Losanitsch's triangle A034851. 2
1, 1, 1, 2, 4, 6, 10, 19, 38, 66, 126, 236, 472, 868, 1716, 3235, 6470, 12190, 24310, 46252, 92504, 176484, 352716, 676270, 1352540, 2600612, 5200300, 10030008, 20060016, 38781096, 77558760, 150273315, 300546630, 583407990, 1166803110, 2268795980, 4537591960, 8836340260, 17672631900 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

N. J. A. Sloane, Classic Sequences

MATHEMATICA

Table[(1/2)*(Binomial[n, Floor[n/2]] + Binomial[Mod[n, 2], Mod[Floor[n/2], 2]]*Binomial[Floor[n/2], Floor[Floor[n/2]/2]]), {n, 0, 50}] (* G. C. Greubel, Feb 23 2018 *)

PROG

(PARI) for(n=0, 50, print1((1/2)*(binomial(n, n\2) + binomial(n%2, (n\2)%2)* binomial(n\2, (n\2)\2)), ", ")) \\ G. C. Greubel, Feb 23 2018

(MAGMA) [(1/2)*(Binomial(n, Floor(n/2)) + Binomial(n mod 2, Floor(n/2) mod 2)*Binomial(Floor(n/2), Floor(Floor(n/2)/2))): n in [0..50]]; // G. C. Greubel, Feb 23 2018

CROSSREFS

Sequence in context: A026680 A317639 A164141 * A032362 A282251 A176716

Adjacent sequences:  A034869 A034870 A034871 * A034873 A034874 A034875

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

Terms a(32) onward added by G. C. Greubel, Feb 23 2018

STATUS

approved

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Last modified December 11 07:44 EST 2019. Contains 329914 sequences. (Running on oeis4.)