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A189330 Number of nondecreasing arrangements of 7 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding four 1
2, 12, 22, 49, 54, 110, 91, 179, 154, 238, 190, 360, 215, 376, 333, 453, 290, 604, 334, 607, 478, 634, 411, 904, 428, 771, 658, 882, 504, 1132, 537, 1023, 832, 1023, 627, 1453, 625, 1158, 1007, 1336, 710, 1614, 753, 1459, 1191, 1398, 825, 2016, 831, 1574, 1337 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A189326

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = -4*a(n-1) -13*a(n-2) -33*a(n-3) -76*a(n-4) -156*a(n-5) -300*a(n-6) -538*a(n-7) -919*a(n-8) -1494*a(n-9) -2337*a(n-10) -3518*a(n-11) -5129*a(n-12) -7245*a(n-13) -9954*a(n-14) -13307*a(n-15) -17352*a(n-16) -22075*a(n-17) -27440*a(n-18) -33327*a(n-19) -39579*a(n-20) -45945*a(n-21) -52136*a(n-22) -57780*a(n-23) -62486*a(n-24) -65817*a(n-25) -67357*a(n-26) -66703*a(n-27) -63526*a(n-28) -57579*a(n-29) -48739*a(n-30) -37025*a(n-31) -22608*a(n-32) -5832*a(n-33) +12817*a(n-34) +32691*a(n-35) +53055*a(n-36) +73066*a(n-37) +91885*a(n-38) +108650*a(n-39) +122610*a(n-40) +133081*a(n-41) +139585*a(n-42) +141780*a(n-43) +139585*a(n-44) +133081*a(n-45) +122610*a(n-46) +108650*a(n-47) +91885*a(n-48) +73066*a(n-49) +53055*a(n-50) +32691*a(n-51) +12817*a(n-52) -5832*a(n-53) -22608*a(n-54) -37025*a(n-55) -48739*a(n-56) -57579*a(n-57) -63526*a(n-58) -66703*a(n-59) -67357*a(n-60) -65817*a(n-61) -62486*a(n-62) -57780*a(n-63) -52136*a(n-64) -45945*a(n-65) -39579*a(n-66) -33327*a(n-67) -27440*a(n-68) -22075*a(n-69) -17352*a(n-70) -13307*a(n-71) -9954*a(n-72) -7245*a(n-73) -5129*a(n-74) -3518*a(n-75) -2337*a(n-76) -1494*a(n-77) -919*a(n-78) -538*a(n-79) -300*a(n-80) -156*a(n-81) -76*a(n-82) -33*a(n-83) -13*a(n-84) -4*a(n-85) -a(n-86)

EXAMPLE

Some solutions for n=3

..2....0....1....1....1....3....0....1....1....0....0....1....1....1....1....1

..3....3....1....1....1....3....1....1....1....1....1....2....1....2....2....1

..3....3....2....1....1....3....1....1....1....1....1....2....1....3....2....2

..3....3....2....1....2....3....2....2....2....2....1....3....1....3....2....2

..3....3....2....1....2....3....2....3....2....3....2....3....2....3....3....3

..3....3....3....2....2....3....2....3....3....3....3....3....3....3....3....3

..3....3....3....3....3....3....3....3....3....3....3....3....3....3....3....3

CROSSREFS

Sequence in context: A163479 A017293 A244188 * A120672 A190642 A108960

Adjacent sequences:  A189327 A189328 A189329 * A189331 A189332 A189333

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 20 2011

STATUS

approved

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Last modified August 18 18:12 EDT 2017. Contains 290732 sequences.