The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A176153

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A176153

Triangle T(n,k) = Sum_{j=0..k} Stirling1(n, n-j)*binomial(n,j), read by rows.
(history; published version)

#21 by Charles R Greathouse IV at Thu Sep 08 08:45:52 EDT 2022

PROG

(MAGMAMagma) [(&+[StirlingFirst(n, n-j)*Binomial(n, j): j in [0..k]]): k in [0..n], n in [0..10]]; // G. C. Greubel, Nov 26 2019

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#20 by Joerg Arndt at Tue Aug 03 01:51:24 EDT 2021

STATUS

reviewed

approved

#19 by Hugo Pfoertner at Tue Aug 03 01:48:42 EDT 2021

STATUS

proposed

reviewed

#18 by G. C. Greubel at Tue Aug 03 01:08:38 EDT 2021

STATUS

editing

proposed

Discussion

Tue Aug 03

01:09

Michel Marcus: ok

#17 by G. C. Greubel at Tue Aug 03 01:07:57 EDT 2021

COMMENTS

Row sums are: {2, -1, -11, 59, -104, -1268, 18712, -152577, 650050, 5365931, ...}.

FORMULA

T(n, n) = A317274(n). - G. C. Greubel, Aug 03 2021

MAPLE

with(combinat); seq(seq( add(stirling2combinat[stirling1](n, n-j)*binomial(n, j), j=0..k), k=0..n), n=0..10); # G. C. Greubel, Nov 26 2019

CROSSREFS

Cf. A008277, A176154, A176155, A176156, A176157, A317274.

STATUS

proposed

editing

#16 by Michel Marcus at Tue Aug 03 00:25:50 EDT 2021

STATUS

editing

proposed

#15 by Michel Marcus at Tue Aug 03 00:24:47 EDT 2021

NAME

Triangle T(n,k) = Sum_{j=0..k} StirlingS1Stirling1(n, n-j)*binomial(n,j), read by rows.

FORMULA

T(n, k) = Sum_{j=0..k} StirlingS1Stirling1(n, n-j)*binomial(n, j).

STATUS

approved

editing

Discussion

Tue Aug 03

00:25

Michel Marcus: maple has stirling2 instead of stirling1  ??

#14 by Joerg Arndt at Wed Nov 27 03:49:03 EST 2019

STATUS

reviewed

approved

#13 by Michel Marcus at Wed Nov 27 01:54:50 EST 2019

STATUS

proposed

reviewed

#12 by G. C. Greubel at Wed Nov 27 01:43:42 EST 2019

STATUS

editing

proposed