A213868
Number of words w where each letter of the n-ary alphabet occurs 8 times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.
Original entry on oeis.org
1, 1, 1859, 48349015, 5795673908453, 1953740543358042205, 1409438188685787895321841, 1835364055105945091130559202709, 3847028733161627562733350467148495403, 11963401430840044468894095677711389363239184, 51960277212541922189750307005207837858451630919380
Offset: 0
a(0) = 1: the empty word.
a(1) = 1: aaaaaaaa.
a(2) = 1859: aaaaaaaabbbbbbbb, aaaaaaababbbbbbb, ..., baabababababaabb, baababababababab.
A213869
Number of words w where each letter of the n-ary alphabet occurs 9 times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.
Original entry on oeis.org
1, 1, 6292, 846167608, 673174876488400, 1785201362960729511070, 11481253272835564584899247346, 146812609193179942830629976945746464, 3264601141014490309682718148875987514642243, 114752550881830601773639529476205016572641397025904
Offset: 0
a(0) = 1: the empty word.
a(1) = 1: aaaaaaaaa.
a(2) = 6292: aaaaaaaaabbbbbbbbb, aaaaaaaababbbbbbbb, ..., baababababababaabb, baabababababababab.
A213870
Number of words w where each letter of the n-ary alphabet occurs 10 times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.
Original entry on oeis.org
1, 1, 21658, 15456538890, 84386541996407430, 1831976833971352074708780, 109898940874611419792791074271620, 14506158303190746913523011613729321067580, 3612014977093890544877702499165438785779326595871, 1520262998870097218529031803141231246364682853428845871416
Offset: 0
a(0) = 1: the empty word.
a(1) = 1: aaaaaaaaaa.
a(2) = 21658: aaaaaaaaaabbbbbbbbbb, aaaaaaaaababbbbbbbbb, ..., baabababababababaabb, baababababababababab.
A213871
Number of words w where each letter of the 9-ary alphabet occurs n times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.
Original entry on oeis.org
1, 362880, 34459425, 1035588754375, 256653852463806955, 224909472938181653263446, 468682891926540940991787213006, 1850042480471503379038420801262526759, 11963401430840044468894095677711389363239184, 114752550881830601773639529476205016572641397025904
Offset: 0
a(0) = 1: the empty word.
a(1) = 362880: all permutations of 9 letters.
A213872
Number of words w where each letter of the 10-ary alphabet occurs n times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.
Original entry on oeis.org
1, 3628800, 654729075, 89575852312675, 140633739174235040170, 961415357313559098150122721, 18131599140232990157442722880124741, 725168149513389307543056971716033431701831, 51960277212541922189750307005207837858451630919380
Offset: 0
a(0) = 1: the empty word.
a(1) = 3628800: all permutations of 10 letters.
A213876
Number of words w where each letter of the 6-ary alphabet occurs n times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.
Original entry on oeis.org
1, 720, 10395, 3864040, 4622269345, 10915151070941, 40684710729862072, 211109968702038259993, 1409438188685787895321841, 11481253272835564584899247346, 109898940874611419792791074271620, 1202306852636261419990922606451803760
Offset: 0
a(0) = 1: the empty word.
a(1) = 720: abcdef, abcdfe, abcedf, ..., fedbca, fedcab, fedcba.
a(2) = 10395: aabbccddeeff, aabbccddefef, aabbccddfeef, ..., fedcaabbcdef, fedcababcdef, fedcbaabcdef.
A213877
Number of words w where each letter of the 7-ary alphabet occurs n times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.
Original entry on oeis.org
1, 5040, 135135, 210455470, 1428739165560, 23060727168393236, 668821362774214965294, 29745278219128813035415595, 1835364055105945091130559202709, 146812609193179942830629976945746464, 14506158303190746913523011613729321067580
Offset: 0
a(0) = 1: the empty word.
a(1) = 5040: abcdefg, abcdegf, abcdfeg, ..., gfedbca, gfedcab, gfedcba, (all permutations of 7 letters).
a(2) = 135135: aabbccddeeffgg, aabbccddeefgfg, aabbccddeegffg, ..., gfedcaabbcdefg, gfedcababcdefg, gfedcbaabcdefg.
A213878
Number of words w where each letter of the 8-ary alphabet occurs n times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.
Original entry on oeis.org
1, 40320, 2027025, 13681123135, 551211090935595, 64157120593526429971, 15388200323143520006870562, 6273648300104128965616586081511, 3847028733161627562733350467148495403, 3264601141014490309682718148875987514642243
Offset: 0
a(0) = 1: the empty word.
a(1) = 40320: abcdefgh, abcdefhg, abcdegfh, ..., hgfedbca, hgfedcab, hgfedcba, (all permutations of 8 letters).