The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A158117 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A158117

Triangle T(n, k) = 10^(k*(n-k)), read by rows.
(history; published version)

#14 by Charles R Greathouse IV at Thu Sep 08 08:45:42 EDT 2022

PROG

(MAGMAMagma) [10^(k*(n-k)): k in [0..n], n in [0..12]]; // G. C. Greubel, Jun 30 2021

Discussion

Thu Sep 08

08:45

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

#13 by Joerg Arndt at Thu Jul 01 03:46:02 EDT 2021

STATUS

reviewed

approved

#12 by Michel Marcus at Thu Jul 01 01:48:55 EDT 2021

STATUS

proposed

reviewed

#11 by G. C. Greubel at Thu Jul 01 01:40:07 EDT 2021

STATUS

editing

proposed

#10 by G. C. Greubel at Thu Jul 01 01:40:01 EDT 2021

NAME

Triangle T(n, k, q) = binomial(q+2, 2)10^(k*(n-k)) with q = 3, , read by rows.

STATUS

reviewed

editing

#9 by Michel Marcus at Thu Jul 01 00:15:10 EDT 2021

STATUS

proposed

reviewed

#8 by G. C. Greubel at Wed Jun 30 22:57:20 EDT 2021

STATUS

editing

proposed

#7 by G. C. Greubel at Wed Jun 30 22:57:17 EDT 2021

CROSSREFS

Cf. A117401 (m=0), A118180 (m=1), A118185 (m=2), A118190 (m=3), A158116 (m=4), A176642 (m=6), this sequence (m=8), A176627 (m=10), A176639 (m=13), A156581 (m=15), A176643 (m=19), A176631 (m=20), A176641 (m=26).

STATUS

proposed

editing

#6 by G. C. Greubel at Wed Jun 30 21:56:37 EDT 2021

STATUS

editing

proposed

#5 by G. C. Greubel at Wed Jun 30 21:56:31 EDT 2021

NAME

Triangle T(n, k, q) = c(n,q)/(c(k,q)*c(n-k,q)) where c(n, k) = binomial(q+2, 2)^binomial(n+1, 2), ck*(n, 0-k)) = n!, and with q = 3, read by rows.

FORMULA

T(n, k, q) = binomial(q+2, 2)^(k*(n-k)) with q = 3.

MATHEMATICA

cT[n_, k_, q_]= If[k==0, n!, Binomial[kq+2, 2]^Binomial[(k*(n+1, 2]]-k));

T[n_, k_, q_]= c[n, q]/(c[k, q]*c[n-k, q]);

STATUS

proposed

editing