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A270961
Number of set partitions of [n] having exactly seven pairs (m,m+1) such that m+1 is in some block b and m is in block b+1.
2
36, 1260, 23258, 324891, 3968251, 45402693, 504270360, 5543886289, 61008463952, 676542685621, 7591571114493, 86426778077884, 999973097589274, 11771498403908062, 141085372337100460, 1722345651885728412, 21421106761851959049, 271444082790121795320
OFFSET
12,1
LINKS
EXAMPLE
a(12) = 36: 1358(12)|247(11)|6(10)|9, 1368(12)|257(11)|4(10)|9, 1369(12)|258(11)|47(10), 1369|258(12)|47(11)|(10), 136(12)|258(11)|47(10)|9, 136(10)(12)|259(11)|48|7, 136(10)|259(12)|48(11)|7, 136(10)|259|48(12)|7(11), 136(10)|259|48|7(12)|(11), 136(12)|259(11)|48(10)|7, 136|259(12)|48(11)|7(10), 136|259|48(12)|7(11)|(10), 136(12)|25(11)|48(10)|79, 136|25(12)|48(11)|7(10)|9, 136(12)|25(11)|4(10)|79|8, 138(12)|257(11)|46(10)|9, 139(12)|258(11)|47(10)|6, 139|258(12)|47(11)|6(10), 139|258|47(12)|6(11)|(10), 13(12)|258(11)|47(10)|69, 13|258(12)|47(11)|6(10)|9, 13(12)|25(11)|47(10)|69|8, 138(12)|27(11)|46(10)|59, 138|27(12)|46(11)|5(10)|9, 13(12)|27(11)|46(10)|59|8, 158(12)|247(11)|36(10)|9, 159(12)|248(11)|37(10)|6, 159|248(12)|37(11)|6(10), 159|248|37(12)|6(11)|(10), 15(12)|248(11)|37(10)|69, 15|248(12)|37(11)|6(10)|9, 15(12)|24(11)|37(10)|69|8, 18(12)|247(11)|36(10)|59, 18|247(12)|36(11)|5(10)|9, 1(12)|247(11)|36(10)|59|8, 17(12)|26(11)|35(10)|49|8.
CROSSREFS
Column k=7 of A270953.
Sequence in context: A278806 A064196 A060786 * A162850 A163219 A163601
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 26 2016
STATUS
approved