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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. 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; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for the first 25 rows

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, Mar 03 2008

MATHEMATICA

T[1, 1]:= 2; T[n_, 1]:= 2*n - 1; T[n_, n_]:= n^2 + 1; T[n_, k_] := T[n - 1, k] + T[n - 1, k - 1]; Table[T[n, k], {n, 1, 10}, {k, 1, n}]//Flatten (* G. C. Greubel, Oct 25 2016 *)

CROSSREFS

Cf. A002522.

Sequence in context: A306676 A237825 A194939 * A238007 A204207 A287919

Adjacent sequences:  A135632 A135633 A135634 * A135636 A135637 A135638

KEYWORD

nonn,tabl

AUTHOR

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

EXTENSIONS

More terms from Emeric Deutsch, Mar 03 2008

STATUS

approved

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Last modified July 23 01:53 EDT 2019. Contains 325228 sequences. (Running on oeis4.)