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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A155033 Matrix inverse of A155031. 5
1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 3, 2, 1, 1, 0, 4, 3, 2, 1, 1, 0, 10, 7, 4, 2, 1, 1, 0, 18, 13, 7, 4, 2, 1, 1, 0, 37, 26, 15, 8, 4, 2, 1, 1, 0, 71, 51, 29, 15, 8, 4, 2, 1, 1, 0, 146, 104, 59, 31, 16, 8, 4, 2, 1, 1, 0, 285, 203, 115, 61, 31, 16, 8, 4, 2, 1, 1, 0, 577, 411, 233, 123, 63, 32, 16, 8, 4, 2, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

LINKS

G. C. Greubel, Rows n = 1..50 of the triangle, flattened

FORMULA

Sum_{k=1..n} T(n,k) = A101173(n). - G. C. Greubel, Mar 15 2021

EXAMPLE

Table begins and row sums are:

  1                            =  1;

  0,  1                        =  1;

  0,  1,  1                    =  2;

  0,  1,  1,  1                =  3;

  0,  3,  2,  1, 1             =  7;

  0,  4,  3,  2, 1, 1          = 11;

  0, 10,  7,  4, 2, 1, 1       = 25;

  0, 18, 13,  7, 4, 2, 1, 1    = 46;

  0, 37, 26, 15, 8, 4, 2, 1, 1 = 94;

MATHEMATICA

A155031[n_, k_]:= If[k>n, 0, If[k==n, 1, If[k==1 || Mod[n, k]==0, 0, -1]]];

A155033:= Inverse[Table[A155031[n, k], {n, 30}, {k, 30}]];

Table[A155033[[n, k]], {n, 15}, {k, n}]//Flatten (* G. C. Greubel, Mar 15 2021 *)

CROSSREFS

Cf. A101173.

Sequence in context: A199324 A287576 A035103 * A283417 A107889 A138384

Adjacent sequences:  A155030 A155031 A155032 * A155034 A155035 A155036

KEYWORD

nonn,tabl

AUTHOR

Mats Granvik, Jan 19 2009

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 13 10:24 EDT 2021. Contains 342935 sequences. (Running on oeis4.)