The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A340524

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A340524

Triangle read by rows: T(n,k) = A000005(n-k+1)*A002865(k-1), 1 <= k <= n.
(history; published version)

#15 by Alois P. Heinz at Wed Jan 13 14:29:08 EST 2021

STATUS

proposed

approved

#14 by Michel Marcus at Wed Jan 13 12:06:52 EST 2021

STATUS

editing

proposed

#13 by Michel Marcus at Wed Jan 13 12:06:43 EST 2021

PROG

(PARI) f(n) = if (n==0, 1, numbpart(n) - numbpart(n-1)); \\ A002865

T(n, k) = numdiv(n-k+1) * f(k-1); \\ Michel Marcus, Jan 13 2021

STATUS

approved

editing

#12 by N. J. A. Sloane at Mon Jan 11 23:10:33 EST 2021

STATUS

proposed

approved

#11 by Omar E. Pol at Mon Jan 11 15:05:58 EST 2021

STATUS

editing

proposed

#10 by Omar E. Pol at Mon Jan 11 15:05:54 EST 2021

CROSSREFS

Columns 7 and 8 give A145154, n >= 1.

STATUS

proposed

editing

#9 by Omar E. Pol at Mon Jan 11 15:03:14 EST 2021

STATUS

editing

proposed

#8 by Omar E. Pol at Mon Jan 11 15:02:51 EST 2021

NAME

Triangle read by rows: T(n,k) = A000005(n-k+1)*A002865(k-1), 1 <= k <= n.

#7 by Omar E. Pol at Mon Jan 11 15:00:37 EST 2021

EXAMPLE

The sum of row 6 is 4 + 0 + 3 + 2 + 4 + 2 = 15, equaling 138137A138137(6) = 15.

CROSSREFS

Columns 1, 3 and 4 are A000005. Column 2 gives A000004. Columns 5 and 6 give A062011. Columns 7 and 8 give A145154. Leading diagonal gives A002865.Cf. A339304 (irregular or expanded version).Cf. A135010, A138121, A221531, A336811, A339106, A340424, A340426.

Row sums give A138137 (conjectured).

Columns 1, 3 and 4 are A000005.

Column 2 gives A000004.

Columns 5 and 6 give A062011.

Columns 7 and 8 give A145154.

Leading diagonal gives A002865.

Cf. A339304 (irregular or expanded version).

Cf. A135010, A138121, A221531, A336811, A339106, A340424, A340426.

#6 by Omar E. Pol at Mon Jan 11 14:59:12 EST 2021

CROSSREFS