The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A288870 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A288870

Triangle T from array A(k,n) = (2*k+1)*2^n + 1, k >=0, n >= 0 read by downwards antidiagonals.
(history; published version)

#13 by Wesley Ivan Hurt at Tue Apr 07 23:00:24 EDT 2020

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editing

approved

#12 by Wesley Ivan Hurt at Tue Apr 07 23:00:18 EDT 2020

FORMULA

E.g.f. for column k of T (without leading 0s0's): (2*k+1)*exp(2*x) + exp(x), k>=0.

CROSSREFS

Cf. A288871. Columns of T (no 0s, 0's, or rows of A): A000051, A181565, A083575, A083686, A083705, A083683, A168596.

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approved

editing

#11 by N. J. A. Sloane at Sun Jun 25 23:03:09 EDT 2017

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proposed

approved

#10 by Michael De Vlieger at Sun Jun 25 10:25:10 EDT 2017

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editing

proposed

#9 by Michael De Vlieger at Sun Jun 25 10:25:07 EDT 2017

MATHEMATICA

Table[(2 k + 1)*2^(m - k) + 1, {m, 0, 10}, {k, 0, m}] // Flatten (* Michael De Vlieger, Jun 25 2017 *)

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#8 by Jon E. Schoenfield at Fri Jun 23 03:51:43 EDT 2017

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proposed

#7 by Jon E. Schoenfield at Fri Jun 23 03:51:38 EDT 2017

NAME

Triangle T from array A(k,n) = (2*k+1)*2^n + 1, k >=0, n >= 0 read by downwards anti-diagonalsantidiagonals.

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proposed

editing

#6 by Indranil Ghosh at Thu Jun 22 15:51:07 EDT 2017

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proposed

#5 by Indranil Ghosh at Thu Jun 22 15:50:59 EDT 2017

PROG

(PARI) A(n, k) = (2*n + 1)*2^k + 1;

for(n=0, 10, for(k=0, n, print1(A(k, n - k), ", "))) \\ Indranil Ghosh, Jun 22 2017

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proposed

editing

#4 by Wolfdieter Lang at Thu Jun 22 12:18:44 EDT 2017

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editing

proposed