A124459 Square array resulting from the bisection of array A124458. (The other array is A093560.)

2, 3, 2, 3, 5, 2, 3, 8, 7, 2, 3, 11, 15, 9, 2, 3, 14, 26, 24, 11, 2, 3, 17, 40, 50, 35, 13, 2, 3, 20, 57, 90, 85, 48, 15, 2, 3, 23, 77, 147, 175, 133, 63, 17, 2, 3, 26, 100, 224, 322, 308, 196, 80, 19, 2, 3, 29, 126, 324, 546, 630, 504, 276, 99, 21, 2, 3, 32, 155, 450, 870, 1176

Offset

1,1

Comments

Apparently the same as A029618 if the first term is ignored. - R. J. Mathar, Jun 18 2008

Links

Table of n, a(n) for n=1..72.

Example

Given the square array
1 2 3 3 3 3 3 3 3 3
1 2 4 5 7 8 10 11 13
1 2 5 7 12 15 22 26
1 2 6 9 18 24 40
1 2 7 11 25 35
1 2 8 13 33 (Table A124458)
1 2 9 15
1 2 10
1 2
1
Omit these odd columns:
1 3 3 3 3 3 3 3 3 3 3
1 4 7 10 13 16 19 22 25 28
1 5 12 22 35 51 70 92 117
1 6 18 40 75 126 196 288
1 7 25 65 140 266 462
1 8 33 98 238 504
1 9 42 140 378
1 10 52 192 (Table A093560)
1 11 63
1 12
1
which yields the square array A124459

Maple

Reppasc := proc(n, k) binomial(n+floor(k/2), n) ; end: A124458 := proc(n, k) add(Reppasc(n, i), i=max(0, k-3)..k-1) ; end: A124459 := proc(n, k) A124458(n, 2*k) ; end: for d from 1 to 19 do for k from d to 1 by -1 do n := d-k ; printf("%d, ", A124459(n, k)) ; od: od: # R. J. Mathar, Jun 18 2008

Crossrefs

Cf. A084215 (antidiagonal sums).

Sequence in context: A112484 A174063 A327277 * A283360 A256366 A046147

Adjacent sequences: A124456 A124457 A124458 * A124460 A124461 A124462

Keyword

easy,nonn,tabl

Author

Alford Arnold, Nov 09 2006

Extensions

More terms from R. J. Mathar, Jun 18 2008

Status

approved