The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A233774 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A233774

Total number of vertices in the first n rows of Sierpinski gasket, with a(0) = 1.
(history; published version)

#34 by OEIS Server at Thu Aug 08 11:05:14 EDT 2024

LINKS

Paolo Xausa, <a href="/A233774/b233774_1.txt">Table of n, a(n) for n = 0..10000</a>

#33 by Michael De Vlieger at Thu Aug 08 11:05:14 EDT 2024

STATUS

reviewed

approved

Discussion

Thu Aug 08

11:05

OEIS Server: Installed first b-file as b233774.txt.

#32 by Joerg Arndt at Thu Aug 08 11:02:34 EDT 2024

STATUS

proposed

reviewed

#31 by Paolo Xausa at Wed Aug 07 10:50:31 EDT 2024

STATUS

editing

proposed

#30 by Paolo Xausa at Wed Aug 07 10:49:18 EDT 2024

LINKS

Paolo Xausa, <a href="/A233774/b233774_1.txt">Table of n, a(n) for n = 0..10000</a>

#29 by Paolo Xausa at Wed Aug 07 10:48:08 EDT 2024

EXAMPLE

-----------------------------------------------------

Diagram n A233775(n) a(n)

. Diagram n A233775(n) a(n)

* 0 1 1

/T\

*---* 1 2 3

/T\ /T\

*---*---* 2 3 6

/T\ /T\

*---* *---* 3 4 10

/T\ /T\ /T\ /T\

*---*---*---*---* 4 5 15

/T\ /T\

*---* *---* 5 4 19

. * 0 1 1

. /T\

. *---* 1 2 3

. /T\ /T\

. *---*---* 2 3 6

. /T\ /T\

. *---* *---* 3 4 10

. /T\ /T\ /T\ /T\

. *---*---*---*---* 4 5 15

. /T\ /T\

. *---* *---* 5 4 19

.

MATHEMATICA

A233775[n_] := If[n == 0, 1, (2^IntegerExponent[n, 2]+1)*2^(DigitSum[n, 2]-1)];

Accumulate[Array[A233775, 100, 0]] (* Paolo Xausa, Aug 07 2024 *)

STATUS

approved

editing

#28 by Alois P. Heinz at Sun Aug 04 15:02:29 EDT 2024

STATUS

proposed

approved

#27 by Andrew Howroyd at Sun Aug 04 14:53:34 EDT 2024

STATUS

editing

proposed

#26 by Andrew Howroyd at Sun Aug 04 14:44:52 EDT 2024

LINKS

Eric Weisstein's World of Mathematics, <a href="httphttps://mathworld.wolfram.com/SierpinskiGraphSierpinskiGasketGraph.html">Sierpinski Sierpiński Gasket Graph</a>.

Wikipedia, <a href="httphttps://en.wikipedia.org/wiki/Sierpinski_triangle">Sierpinski triangle</a>.

STATUS

approved

editing

Discussion

Sun Aug 04

14:53

Andrew Howroyd: The old SierpinskiGraph page is just a stub that points to Sierpiński Gasket Graph, updated to the newer page.

#25 by T. D. Noe at Fri Dec 20 18:18:23 EST 2013

STATUS

proposed

approved