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A191362 Number of the diagonal of the dispersion of the even positive integers that contains n. 3
0, -1, 1, -2, 2, 0, 3, -3, 4, 1, 5, -1, 6, 2, 7, -4, 8, 3, 9, 0, 10, 4, 11, -2, 12, 5, 13, 1, 14, 6, 15, -5, 16, 7, 17, 2, 18, 8, 19, -1, 20, 9, 21, 3, 22, 10, 23, -3, 24, 11, 25, 4, 26, 12, 27, 0, 28, 13, 29, 5, 30, 14, 31, -6, 32, 15, 33, 6, 34, 16, 35, 1, 36, 17, 37, 7, 38, 18, 39, -2, 40, 19, 41, 8, 42, 20, 43, 2, 44, 21, 45, 9, 46, 22, 47, -4, 48, 23, 49, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Every integer occurs in A191362 (infinitely many times).

Represent the array as {f(i,j): i>=1, j>=1}.  Then for m>=0, (diagonal #m) is the sequence (f(i,i+m)), i>=1;

for m<0, (diagonal #m) is the sequence (f(i+m,i)), i>=1.

LINKS

Table of n, a(n) for n=1..100.

MATHEMATICA

f[i_, j_] := (2 j - 1)*2^(i - 1);

t=TableForm[Table[f[i, j], {i, 1, 10}, {j, 1, 8}]]

(* t=A054582, the dispersion of the even positive integers *)

a = Flatten[Table[If[f[i, j] == n, j - i, {}], {n, 100}, {i, 10}, {j, 80}]]

(* a=A191362 *)

CROSSREFS

Cf. A191362, A114327, A191360, A191361.

Sequence in context: A216504 A216673 A207383 * A137422 A139139 A077872

Adjacent sequences:  A191359 A191360 A191361 * A191363 A191364 A191365

KEYWORD

sign

AUTHOR

Clark Kimberling, May 31 2011

STATUS

approved

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Last modified September 21 17:46 EDT 2019. Contains 327273 sequences. (Running on oeis4.)