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A135635 Triangle read by rows, constructed by the Pascal rule, with top entry 2, left edge = odd numbers, right edge = squares plus 1. +0
1
2, 3, 5, 5, 8, 10, 7, 13, 18, 17, 9, 20, 31, 35, 26, 11, 29, 51, 66, 61, 37, 13, 40, 80, 117, 127, 98, 50, 15, 53, 120, 197, 244, 225, 148, 65, 17, 68, 173, 317, 441, 469, 373, 213, 82, 19, 85, 241, 490, 758, 910, 842, 586, 295, 101 (list; table; graph; listen)
OFFSET

1,1

EXAMPLE

...........................2

..........................3.5

.........................5.8.10

.......................7.13.18.17

.....................9..20.31.35.26

..................11..29..51.66..61.37

MAPLE

T:=proc(n, k)if n=1 and k=1 then 2 elif k=1 then 2*n-1 elif n < k then 0 elif k =n then n^2+1 else T(n-1, k)+T(n-1, k-1) end if end proc: for n to 10 do seq(T(n, k), k=1..n) end do; # yields sequence in triangular form - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 03 2008

CROSSREFS

Cf. A002522.

Sequence in context: A067284 A123339 A152771 this_sequence A006447 A014237 A033885

Adjacent sequences: A135632 A135633 A135634 this_sequence A135636 A135637 A135638

KEYWORD

nonn,tabl

AUTHOR

David Williams (davidwilliams(AT)paxway.com), Mar 01 2008

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 03 2008

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


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