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 A187988 T(n,k)=Number of nondecreasing arrangements of n numbers x(i) in -(n+k-2)..(n+k-2) with the sum of sign(x(i))*2^|x(i)| zero 14
 0, 0, 1, 0, 2, 3, 0, 3, 5, 9, 0, 4, 7, 15, 36, 0, 5, 9, 22, 57, 117, 0, 6, 11, 30, 82, 181, 411, 0, 7, 13, 39, 111, 260, 632, 1452, 0, 8, 15, 49, 144, 355, 912, 2199, 5040, 0, 9, 17, 60, 181, 467, 1257, 3158, 7593, 17829, 0, 10, 19, 72, 222, 597, 1673, 4357, 10920, 26706, 62870 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .....0.....0.....0.....0.....0.....0.....0.....0....0....0...0...0..0..0.0 .....1.....2.....3.....4.....5.....6.....7.....8....9...10..11..12.13.14 .....3.....5.....7.....9....11....13....15....17...19...21..23..25.27 .....9....15....22....30....39....49....60....72...85...99.114.130 ....36....57....82...111...144...181...222...267..316..369.426 ...117...181...260...355...467...597...746...915.1105.1317 ...411...632...912..1257..1673..2166..2742..3407.4167 ..1452..2199..3158..4357..5825..7592..9689.12148 ..5040..7593.10920.15146.20404.26835.34588 .17829.26706.38385.53379.72246.95590 LINKS R. J. Mathar, Table of n, a(n) for n = 1..187 augmenting an earlier file with 117 entries by R. H. Hardin . R. J. Mathar, Background on the recurrent Maple program for the linear diophantine equation EXAMPLE Some solutions for n=5 k=3 .-3...-6...-5...-3...-3...-6...-4...-4...-1...-4...-2...-4...-4...-2...-3...-5 .-3...-3...-5...-1...-3...-5...-1...-2...-1...-4...-2...-2...-4...-1....1...-1 .-2...-3...-2....1...-3...-5....0...-2....0...-4...-1....2...-3....1....1....1 ..2....4....2....2...-3....6....0....3....0...-4....1....3....3....1....1....4 ..4....6....6....2....5....6....4....4....1....6....3....3....5....1....1....4 MAPLE AatE := proc(n, nminusfE, E) option remember ; local a, fEminus, fEplus, f0, resn ; if E = 0 then if n =0 then 1; else 0; end if; else a :=0 ; for fEminus from 0 to nminusfE do for fEplus from 0 to nminusfE-fEminus do f0 := nminusfE-fEminus-fEplus ; resn := n-(2^E+1)*fEminus+(2^E-1)*fEplus ; if abs (resn) <= (1+2^(E-1))*f0 then a := a+procname(resn, f0, E-1) ; end if; end do: end do: a ; end if; end proc: A187988 := proc(n, k) AatE(n, n, n+k-2) ; end proc: seq(seq( A187988(n, d-n), n=1..d-1), d=2..15) ; # R. J. Mathar, May 12 2023 CROSSREFS Row n=4 is A055999(k+1). A187989 (n=5), A187990 (n=6), A187991 (n=7), A187992 (n=8), A187979 (k=n), A187980 (k=1), A187981 (k=2), A187982 (k=3), A187983 (k=4), A187984 (k=5), A187985 (k=6). Sequence in context: A047773 A279416 A331781 * A035549 A329970 A245255 Adjacent sequences: A187985 A187986 A187987 * A187989 A187990 A187991 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 18 2011 STATUS approved

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Last modified September 16 22:04 EDT 2024. Contains 375979 sequences. (Running on oeis4.)