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 A182743 Table of the partitions that do not contain 1 as a part for odd integers. 24
 3, 5, 2, 4, 2, 2, 7, 3, 2, 2, 3, 2, 2, 2, 2, 6, 3, 2, 2, 2, 2, 5, 3, 3, 2, 2, 2, 2, 9, 4, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The same idea as A182742 but for odd integers. LINKS EXAMPLE Array begins: 3,2,2,2,2,2,2,2,2,2,2, 5,2,2,2,2,2,2,2,2,2, 4,3,2,2,2,2,2,2,2,2, 7,2,2,2,2,2,2,2,2, 3,3,3,2,2,2,2,2,2,2, 6,3,2,2,2,2,2,2,2, 5,4,2,2,2,2,2,2,2, 9,2,2,2,2,2,2,2, 5,3,3,2,2,2,2,2,2, 4,4,3,2,2,2,2,2,2, 8,3,2,2,2,2,2,2, 7,4,2,2,2,2,2,2, 6,5,2,2,2,2,2,2, 11,2,2,2,2,2,2, 4,3,3,3,2,2,2,2,2, 7,3,3,2,2,2,2,2, 6,4,3,2,2,2,2,2, 5,5,3,2,2,2,2,2, 10,3,2,2,2,2,2, 5,4,4,2,2,2,2,2, 9,4,2,2,2,2,2, 8,5,2,2,2,2,2, 7,6,2,2,2,2,2, MAPLE cmpL := proc(a, b) local i ; for i from 1 to min(nops(a), nops(b)) do if op(i, a) < op(i, b) then return -1 ; elif op(i, a) > op(i, b) then return 1 ; end if; end do; if nops(a) > nops(b) then return 1; elif nops(a) < nops(b) then return -1; else return 0; end if; end proc: pShellMin := proc(p) local idx, j; idx := 1 ; for j from 2 to nops(p) do if cmpL( op(j, p), op(idx, p)) < 0 then idx := j; end if; end do; return idx ; end proc: A141285rowf := proc(n) local p; if n <= 1 then [n] ; else psort := [] ; p := combinat[partition](n) ; while nops(p) > 0 do m := pShellMin(p) ; mmi := min(op(op(m, p))) ; if mmi > 1 then mma := max(op(op(m, p))) ; psort := [op(psort), sort(op(m, p), `>`)] ; end if; p := subsop(m=NULL, p) ; end do: psort ; end if; end proc: for n from 1 to 17 by 2 do shl := A141285rowf(n) ; for r in shl do for k in r do printf("%d, ", k) ; end do: printf("\n") ; end do: printf("\n") ; end do: # R. J. Mathar, Dec 03 2010 CROSSREFS Cf. A135010, A138121, A141285, A182731, A182742. Column 1 give A182733. Column 2 give A182745. Sequence in context: A261597 A197331 A113475 * A222601 A104807 A131793 Adjacent sequences:  A182740 A182741 A182742 * A182744 A182745 A182746 KEYWORD nonn,tabl,more AUTHOR Omar E. Pol, Nov 30 2010, Dec 01 2010 STATUS approved

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