id:A144225 - OEIS Search Results

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Bordered Pascal's triangle in rectangular format.

+0
3

1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 3, 3, 1, 0, 0, 1, 4, 6, 4, 1, 0, 0, 1, 5, 10, 10, 5, 1, 0, 0, 1, 6, 15, 20, 15, 6, 1, 0, 0, 1, 7, 21, 35, 35, 21, 7, 1, 0, 0, 1, 8, 28, 56, 70, 56, 28, 8, 1, 0, 0, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 0, 0, 1, 10, 45, 120, 210, 252, 210, 120, 45 (list; table; graph; listen)

	OFFSET	`1,13`
	COMMENT	`This is the weight array (defined at A144112) of Pascal's rectangle - that is, Pascal's triangle A007318 formatted as a rectangle.`
	FORMULA	`After deleting row 1, (1 0 0 0 ...) and column 1, (1 0 0 0 ...), the remaining array is given by R(m,n)=C(m+n-2,m-1). This "Pascal rectangle" is the accumulation array of A144225.`
	EXAMPLE	`Northwest corner:` `1 0 0 0 0 0 0 0` `0 1 1 1 1 1 1 1` `0 1 2 3 4 5 6 7` `0 1 3 6 10 15 21 28` `0 1 4 10 20 35 56`
	CROSSREFS	`A007318, A144112.` `Sequence in context: A036867 A036866 A159854 this_sequence A017837 A127840 A145153` `Adjacent sequences: A144222 A144223 A144224 this_sequence A144226 A144227 A144228`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Sep 15 2008`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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