A129399 -id:A129399 - cp's OEIS frontend

A129398 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.

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, -7, 0, 4, 1, 1, 3, 0, 3, 1, 1, 4, 1, 1

Offset: 0

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Jonas Wallgren, Apr 13 2007

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All face elements=1. For an element x on a level inside the pyramid
..b
.cxd
..e
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
..1
.1.5.1
..1
The level h=2 is
.....1
..1.-3..1
1.-3.-7.-3..1
..1.-3..1
.....1
The level h=3 is
........1
.....1..4..1
..1..3..0..3..1
1..4..0.-7..0..4..1
..1..3..0..3..1
.....1..4..1
........1

This is a three-dimensional analog of A129392.

Cf. A129392, A129399.

cp's OEIS Frontend

A129398 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.

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