The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A230135 Triangle read by rows: T(n, k) = 1 if ((k mod 4 = 2) and (n mod 2 = 1)) or ((k mod 4 = 0) and (n mod 2 = 0)) else T(n, k) = 0. 2
 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS The T(n, k) triangle is related to the Kn1p sums of the ‘Races with Ties’ triangle A035317. See A230447 for the Kn1p sums and see A180662 for the definitions of these triangle sums. The row sums lead to three sequences and they can, quite surprisingly, be linked with Alcuin’s sequence A005044, see the formulas. LINKS E. Mendelson, Races with Ties, Math. Mag. 55 (1982), 170-175. FORMULA T(n, k) = 1 if ((k mod 4 = 2) and (n mod 2 = 1)) or ((k mod 4 = 0) and (n mod 2 = 0)) else T(n, k) = 0. sum(T(n, k), k=0..n) = A008624(n) = A026922(n+2) = A059169(n+3) = A005044(n+3) - A005044(n-3). EXAMPLE The first few rows of triangle T(n, k), n >= 0 and 0 <= k <= n. n/k 0   1   2   3   4   5   6   7 ------------------------------------------------ 0|  1 1|  0,  0 2|  1,  0,  0 3|  0,  0,  1,  0 4|  1,  0,  0,  0,  1 5|  0,  0,  1,  0,  0,  0 6|  1,  0,  0,  0,  1,  0,  0 7|  0,  0,  1,  0,  0,  0,  1,  0 MAPLE T := proc(n, k): if ((k mod 4 = 2) and (n mod 2 = 1)) or ((k mod 4 = 0) and (n mod 2 = 0)) then return(1) else return(0) fi: end: seq(seq(T(n, k), k=0..n), n=0..13); CROSSREFS Sequence in context: A326072 A304362 A330682 * A205633 A252488 A170956 Adjacent sequences:  A230132 A230133 A230134 * A230136 A230137 A230138 KEYWORD nonn,easy,tabl AUTHOR Johannes W. Meijer, Oct 12 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 27 12:01 EST 2020. Contains 331295 sequences. (Running on oeis4.)