A117145 - OEIS

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A117145 as a triangular array

													1
												0		1
											1		0		1
										0		1		0		1
									0		0		1		0		1
								0		1		0		1		0		1
							1		0		1		0		1		0		1
						0		1		0		1		0		1		0		1
					0		0		2		0		1		0		1		0		1
				0		1		0		2		0		1		0		1		0		1
			0		0		1		0		2		0		1		0		1		0		1
		0		0		0		2		0		2		0		1		0		1		0		1
	0		0		1		0		2		0		2		0		1		0		1		0		1
0		1		0		1		0		2		0		2		0		1		0		1		0		1

A117145 as a square array

1	0	1	0	0	0	1	0	0	0	0	0	0	0
1	0	1	0	1	0	1	0	1	0	0	0	1
1	0	1	0	1	0	2	0	1	0	1	0
1	0	1	0	1	0	2	0	2	0	1
1	0	1	0	1	0	2	0	2	0
1	0	1	0	1	0	2	0	2
1	0	1	0	1	0	2	0
1	0	1	0	1	0	2
1	0	1	0	1	0
1	0	1	0	1
1	0	1	0
1	0	1
1	0
1

A117145 as an upper right triangle

1	0	1	0	0	0	1	0	0	0	0	0	0	0
	1	0	1	0	1	0	1	0	1	0	0	0	1
		1	0	1	0	1	0	2	0	1	0	1	0
			1	0	1	0	1	0	2	0	2	0	1
				1	0	1	0	1	0	2	0	2	0
					1	0	1	0	1	0	2	0	2
						1	0	1	0	1	0	2	0
							1	0	1	0	1	0	2
								1	0	1	0	1	0
									1	0	1	0	1
										1	0	1	0
											1	0	1
												1	0
													1

													1
												0		1
											1		0		1
										0		1		0		1
									0		0		1		0		1
								0		1		0		1		0		1
							1		0		1		0		1		0		1
						0		1		0		1		0		1		0		1
					0		0		2		0		1		0		1		0		1
				0		1		0		2		0		1		0		1		0		1
			0		0		1		0		2		0		1		0		1		0		1
		0		0		0		2		0		2		0		1		0		1		0		1
	0		0		1		0		2		0		2		0		1		0		1		0		1
0		1		0		1		0		2		0		2		0		1		0		1		0		1

1	0	1	0	0	0	1	0	0	0	0	0	0	0
1	0	1	0	1	0	1	0	1	0	0	0	1
1	0	1	0	1	0	2	0	1	0	1	0
1	0	1	0	1	0	2	0	2	0	1
1	0	1	0	1	0	2	0	2	0
1	0	1	0	1	0	2	0	2
1	0	1	0	1	0	2	0
1	0	1	0	1	0	2
1	0	1	0	1	0
1	0	1	0	1
1	0	1	0
1	0	1
1	0
1

1	0	1	0	0	0	1	0	0	0	0	0	0	0
	1	0	1	0	1	0	1	0	1	0	0	0	1
		1	0	1	0	1	0	2	0	1	0	1	0
			1	0	1	0	1	0	2	0	2	0	1
				1	0	1	0	1	0	2	0	2	0
					1	0	1	0	1	0	2	0	2
						1	0	1	0	1	0	2	0
							1	0	1	0	1	0	2
								1	0	1	0	1	0
									1	0	1	0	1
										1	0	1	0
											1	0	1
												1	0
													1

													1
												0		1
											1		0		1
										0		1		0		1
									0		0		1		0		1
								0		1		0		1		0		1
							1		0		1		0		1		0		1
						0		1		0		1		0		1		0		1
					0		0		2		0		1		0		1		0		1
				0		1		0		2		0		1		0		1		0		1
			0		0		1		0		2		0		1		0		1		0		1
		0		0		0		2		0		2		0		1		0		1		0		1
	0		0		1		0		2		0		2		0		1		0		1		0		1
0		1		0		1		0		2		0		2		0		1		0		1		0		1

1	0	1	0	0	0	1	0	0	0	0	0	0	0
1	0	1	0	1	0	1	0	1	0	0	0	1
1	0	1	0	1	0	2	0	1	0	1	0
1	0	1	0	1	0	2	0	2	0	1
1	0	1	0	1	0	2	0	2	0
1	0	1	0	1	0	2	0	2
1	0	1	0	1	0	2	0
1	0	1	0	1	0	2
1	0	1	0	1	0
1	0	1	0	1
1	0	1	0
1	0	1
1	0
1

1	0	1	0	0	0	1	0	0	0	0	0	0	0
	1	0	1	0	1	0	1	0	1	0	0	0	1
		1	0	1	0	1	0	2	0	1	0	1	0
			1	0	1	0	1	0	2	0	2	0	1
				1	0	1	0	1	0	2	0	2	0
					1	0	1	0	1	0	2	0	2
						1	0	1	0	1	0	2	0
							1	0	1	0	1	0	2
								1	0	1	0	1	0
									1	0	1	0	1
										1	0	1	0
											1	0	1
												1	0
													1

													1
												0		1
											1		0		1
										0		1		0		1
									0		0		1		0		1
								0		1		0		1		0		1
							1		0		1		0		1		0		1
						0		1		0		1		0		1		0		1
					0		0		2		0		1		0		1		0		1
				0		1		0		2		0		1		0		1		0		1
			0		0		1		0		2		0		1		0		1		0		1
		0		0		0		2		0		2		0		1		0		1		0		1
	0		0		1		0		2		0		2		0		1		0		1		0		1
0		1		0		1		0		2		0		2		0		1		0		1		0		1

1	0	1	0	0	0	1	0	0	0	0	0	0	0
1	0	1	0	1	0	1	0	1	0	0	0	1
1	0	1	0	1	0	2	0	1	0	1	0
1	0	1	0	1	0	2	0	2	0	1
1	0	1	0	1	0	2	0	2	0
1	0	1	0	1	0	2	0	2
1	0	1	0	1	0	2	0
1	0	1	0	1	0	2
1	0	1	0	1	0
1	0	1	0	1
1	0	1	0
1	0	1
1	0
1

1	0	1	0	0	0	1	0	0	0	0	0	0	0
	1	0	1	0	1	0	1	0	1	0	0	0	1
		1	0	1	0	1	0	2	0	1	0	1	0
			1	0	1	0	1	0	2	0	2	0	1
				1	0	1	0	1	0	2	0	2	0
					1	0	1	0	1	0	2	0	2
						1	0	1	0	1	0	2	0
							1	0	1	0	1	0	2
								1	0	1	0	1	0
									1	0	1	0	1
										1	0	1	0
											1	0	1
												1	0
													1