The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A233323 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A233323

Triangle read by rows: T(n,k) = number of palindromic compositions of n in which the largest part is equal to k, 1 <= k <= n.
(history; published version)

#19 by Jean-François Alcover at Fri Dec 13 04:59:53 EST 2013

STATUS

editing

proposed

#18 by Jean-François Alcover at Fri Dec 13 04:59:48 EST 2013

MATHEMATICA

b[n_, k_] := b[n, k] = If[n <= k, 1, 0] + Sum[b[n-2*j, k], { j, 1, Min[k, Quotient[n, 2]]}]; t[n_, k_] := b[n, k] - b[n, k-1]; Table[Table[t[n, k], {k, 1, n}], {n, 1, 14}] // Flatten (* Jean-François Alcover, Dec 13 2013, translated from Alois P. Heinz's Maple code *)

STATUS

approved

editing

#17 by OEIS Server at Thu Dec 12 18:10:45 EST 2013

LINKS

Charles R Greathouse IV, <a href="/A233323/b233323_1.txt">Rows n = 1..50, flattened</a>

#16 by Alois P. Heinz at Thu Dec 12 18:10:45 EST 2013

STATUS

reviewed

approved

Discussion

Thu Dec 12

18:10

OEIS Server: Installed new b-file as b233323.txt.  Old b-file is now b233323_1.txt.

#15 by Joerg Arndt at Thu Dec 12 13:59:40 EST 2013

STATUS

proposed

reviewed

#14 by Charles R Greathouse IV at Wed Dec 11 13:45:31 EST 2013

STATUS

editing

proposed

Discussion

Thu Dec 12

13:59

Joerg Arndt: Nice sequence!

#13 by Charles R Greathouse IV at Wed Dec 11 13:45:02 EST 2013

LINKS

Charles R Greathouse IV, <a href="/A233323/b233323_1.txt">Rows n = 1..40, 50, flattened</a>

PROG

if(k>n/2, && !ok,

STATUS

proposed

editing

#12 by Alois P. Heinz at Wed Dec 11 12:15:21 EST 2013

STATUS

editing

proposed

Discussion

Wed Dec 11

12:45

L. Edson Jeffery: Excellent work -- thank you Charles R Greathouse IV and Alois P. Heinz!

#11 by Alois P. Heinz at Wed Dec 11 11:48:21 EST 2013

CROSSREFS

T(n,2)+1 gives: = A053602(n+1) = A123231(n). T(4n-2,2n) = A011782(n-1). - Alois P. Heinz, Dec 11 2013

#10 by Alois P. Heinz at Wed Dec 11 11:41:19 EST 2013

CROSSREFS

T(n,2)+1 gives: A053602(n+1) = A123231(n). - Alois P. Heinz, Dec 11 2013