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A275328 Triangle read by rows, Riordan array (1, (1+x/(1-4*x^2))/sqrt(1-4*x^2). 2
1, 0, 1, 0, 2, 1, 0, 6, 4, 1, 0, 6, 16, 6, 1, 0, 30, 36, 30, 8, 1, 0, 20, 120, 98, 48, 10, 1, 0, 140, 232, 342, 200, 70, 12, 1, 0, 70, 756, 924, 784, 350, 96, 14, 1, 0, 630, 1300, 2856, 2576, 1550, 556, 126, 16, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

Table starts:

[n] [k=0,1,2,...] row sum

[0], [1], 1

[1], [0, 1], 1

[2], [0, 2, 1], 3

[3], [0, 6, 4, 1], 11

[4], [0, 6, 16, 6, 1], 29

[5], [0, 30, 36, 30, 8, 1], 105

[6], [0, 20, 120, 98, 48, 10, 1], 297

[7], [0, 140, 232, 342, 200, 70, 12, 1], 997

[8], [0, 70, 756, 924, 784, 350, 96, 14, 1], 2995

[9], [0, 630, 1300, 2856, 2576, 1550, 556, 126, 16, 1], 9611

MAPLE

S := proc(n, k) option remember; local sf: if n = 0 then return n^k fi;

sf := n -> n!/iquo(n, 2)!^2; add(sf(i)*S(n-1, k-i), i=1..k-n+1) end:

A275328 := (n, k) -> S(k, n): seq(seq(A275328(n, k), k=0..n), n=0..8);

MATHEMATICA

(* The function RiordanArray is defined in A256893. *)

RiordanArray[1&, (1+#/(1-4#^2))/Sqrt[1-4#^2]&, 10] // Flatten (* Jean-Fran├žois Alcover, Jul 16 2019 *)

PROG

(Sage) # Function riordan_array defined in A256893.

riordan_array(1, (1+x/(1-4*x^2))/sqrt(1-4*x^2), 10)

CROSSREFS

Cf. A056040 (column 1), A275327.

Sequence in context: A301924 A262071 A011312 * A147720 A205813 A127631

Adjacent sequences:  A275325 A275326 A275327 * A275329 A275330 A275331

KEYWORD

nonn,tabl,changed

AUTHOR

Peter Luschny, Aug 19 2016

STATUS

approved

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Last modified July 18 07:05 EDT 2019. Contains 325134 sequences. (Running on oeis4.)