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

0,4

Comments

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

Links

Table of n, a(n) for n=0..43.

Crossrefs

This is a three-dimensional analog of A129392.

Cf. A129392, A129399.

Sequence in context: A188796 A161685 A257461 * A109009 A060904 A351084

Adjacent sequences: A129395 A129396 A129397 * A129399 A129400 A129401

Keyword

sign

Author

Jonas Wallgren, Apr 13 2007

Status

approved