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Pyramid P(h,x,y)=P(h,x,y-1)+P(h,x,y+1)+P(h,x-1,y)+P(h,x+1,y)+P(h-1,x,y), read level by level, x by x.
2

%I #4 Jul 11 2015 16:50:04

%S 1,1,1,5,1,1,1,1,-3,1,1,-3,-7,-3,1,1,-3,1,1,1,1,4,1,1,3,0,3,1,1,4,0,

%T -7,0,4,1,1,3,0,3,1,1,4,1,1

%N Pyramid P(h,x,y)=P(h,x,y-1)+P(h,x,y+1)+P(h,x-1,y)+P(h,x+1,y)+P(h-1,x,y), read level by level, x by x.

%C All face elements=1. For an element x on a level inside the pyramid

%C ..b

%C .cxd

%C ..e

%C with a above x, x=a+b+c+d+e. Every level of the pyramid is symmetric. Thus the top (h=0) of the pyramid is 1. The level h=1 is

%C ..1

%C .1.5.1

%C ..1

%C The level h=2 is

%C .....1

%C ..1.-3..1

%C 1.-3.-7.-3..1

%C ..1.-3..1

%C .....1

%C The level h=3 is

%C ........1

%C .....1..4..1

%C ..1..3..0..3..1

%C 1..4..0.-7..0..4..1

%C ..1..3..0..3..1

%C .....1..4..1

%C ........1

%Y This is a three-dimensional analog of A129392.

%Y Cf. A129392, A129399.

%K sign

%O 0,4

%A _Jonas Wallgren_, Apr 13 2007

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Last modified September 20 02:18 EDT 2024. Contains 376016 sequences. (Running on oeis4.)